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Finding the Fourth Proportional to 106,831,344.40, 160,414,978.20 and 61,481,712.40

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Solution

The fourth proportional to 106,831,344.40, 160,414,978.20 and 61,481,712.40 is: 92,319,230.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,831,344.40 : 160,414,978.20 = 61,481,712.40 : x
  2. Step 2: Convert to fraction form
    106,831,344.40/160,414,978.20 = 61,481,712.40/x
  3. Step 3: Cross multiply
    106,831,344.40x = 160,414,978.20 × 61,481,712.40
  4. Step 4: Simplify right side
    106,831,344.40x = 9,862,587,554,344,668
  5. Step 5: Solve for x
    x = 9,862,587,554,344,668/106,831,344.40
  6. Step 6: Final answer
    x = 92,319,230.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.