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Finding the Fourth Proportional to 116,161.02, 160,351.14 and 78,486.30

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Solution

The fourth proportional to 116,161.02, 160,351.14 and 78,486.30 is: 108,344.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,161.02 : 160,351.14 = 78,486.30 : x
  2. Step 2: Convert to fraction form
    116,161.02/160,351.14 = 78,486.30/x
  3. Step 3: Cross multiply
    116,161.02x = 160,351.14 × 78,486.30
  4. Step 4: Simplify right side
    116,161.02x = 12,585,367,679.38
  5. Step 5: Solve for x
    x = 12,585,367,679.38/116,161.02
  6. Step 6: Final answer
    x = 108,344.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.