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Finding the Fourth Proportional to 102,637.80, 153,812.70 and 81,613.80

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Solution

The fourth proportional to 102,637.80, 153,812.70 and 81,613.80 is: 122,306.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,637.80 : 153,812.70 = 81,613.80 : x
  2. Step 2: Convert to fraction form
    102,637.80/153,812.70 = 81,613.80/x
  3. Step 3: Cross multiply
    102,637.80x = 153,812.70 × 81,613.80
  4. Step 4: Simplify right side
    102,637.80x = 12,553,238,935.26
  5. Step 5: Solve for x
    x = 12,553,238,935.26/102,637.80
  6. Step 6: Final answer
    x = 122,306.20

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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.