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Finding the Fourth Proportional to 103,545.80, 155,318.70 and 85,831.10

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Solution

The fourth proportional to 103,545.80, 155,318.70 and 85,831.10 is: 128,746.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,545.80 : 155,318.70 = 85,831.10 : x
  2. Step 2: Convert to fraction form
    103,545.80/155,318.70 = 85,831.10/x
  3. Step 3: Cross multiply
    103,545.80x = 155,318.70 × 85,831.10
  4. Step 4: Simplify right side
    103,545.80x = 13,331,174,871.57
  5. Step 5: Solve for x
    x = 13,331,174,871.57/103,545.80
  6. Step 6: Final answer
    x = 128,746.65

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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.