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Finding the Fourth Proportional to 119,329.50, 164,670.49 and 65,614.14

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Solution

The fourth proportional to 119,329.50, 164,670.49 and 65,614.14 is: 90,545.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,329.50 : 164,670.49 = 65,614.14 : x
  2. Step 2: Convert to fraction form
    119,329.50/164,670.49 = 65,614.14/x
  3. Step 3: Cross multiply
    119,329.50x = 164,670.49 × 65,614.14
  4. Step 4: Simplify right side
    119,329.50x = 10,804,712,584.73
  5. Step 5: Solve for x
    x = 10,804,712,584.73/119,329.50
  6. Step 6: Final answer
    x = 90,545.19

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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.