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Finding the Fourth Proportional to 116,013.52, 160,098.96 and 65,712.52

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Solution

The fourth proportional to 116,013.52, 160,098.96 and 65,712.52 is: 90,683.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,013.52 : 160,098.96 = 65,712.52 : x
  2. Step 2: Convert to fraction form
    116,013.52/160,098.96 = 65,712.52/x
  3. Step 3: Cross multiply
    116,013.52x = 160,098.96 × 65,712.52
  4. Step 4: Simplify right side
    116,013.52x = 10,520,506,110.98
  5. Step 5: Solve for x
    x = 10,520,506,110.98/116,013.52
  6. Step 6: Final answer
    x = 90,683.45

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1.5x scale

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.