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Finding the Fourth Proportional to 103,653.92, 155,292.19 and 71,997.10

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Solution

The fourth proportional to 103,653.92, 155,292.19 and 71,997.10 is: 107,864.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,653.92 : 155,292.19 = 71,997.10 : x
  2. Step 2: Convert to fraction form
    103,653.92/155,292.19 = 71,997.10/x
  3. Step 3: Cross multiply
    103,653.92x = 155,292.19 × 71,997.10
  4. Step 4: Simplify right side
    103,653.92x = 11,180,587,332.65
  5. Step 5: Solve for x
    x = 11,180,587,332.65/103,653.92
  6. Step 6: Final answer
    x = 107,864.59

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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.