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Finding the Fourth Proportional to 116,683.38, 161,024.13 and 65,686.23

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Solution

The fourth proportional to 116,683.38, 161,024.13 and 65,686.23 is: 90,647.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,683.38 : 161,024.13 = 65,686.23 : x
  2. Step 2: Convert to fraction form
    116,683.38/161,024.13 = 65,686.23/x
  3. Step 3: Cross multiply
    116,683.38x = 161,024.13 × 65,686.23
  4. Step 4: Simplify right side
    116,683.38x = 10,577,068,038.73
  5. Step 5: Solve for x
    x = 10,577,068,038.73/116,683.38
  6. Step 6: Final answer
    x = 90,647.60

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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.