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Finding the Fourth Proportional to 106,973.60, 160,460.40 and 76,906.40

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Solution

The fourth proportional to 106,973.60, 160,460.40 and 76,906.40 is: 115,359.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,973.60 : 160,460.40 = 76,906.40 : x
  2. Step 2: Convert to fraction form
    106,973.60/160,460.40 = 76,906.40/x
  3. Step 3: Cross multiply
    106,973.60x = 160,460.40 × 76,906.40
  4. Step 4: Simplify right side
    106,973.60x = 12,340,431,706.56
  5. Step 5: Solve for x
    x = 12,340,431,706.56/106,973.60
  6. Step 6: Final answer
    x = 115,359.60

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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.