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Finding the Fourth Proportional to 187,006.50, 280,524.42 and 62,347.50

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Solution

The fourth proportional to 187,006.50, 280,524.42 and 62,347.50 is: 93,526.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,006.50 : 280,524.42 = 62,347.50 : x
  2. Step 2: Convert to fraction form
    187,006.50/280,524.42 = 62,347.50/x
  3. Step 3: Cross multiply
    187,006.50x = 280,524.42 × 62,347.50
  4. Step 4: Simplify right side
    187,006.50x = 17,489,996,275.95
  5. Step 5: Solve for x
    x = 17,489,996,275.95/187,006.50
  6. Step 6: Final answer
    x = 93,526.14

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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.