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Finding the Fourth Proportional to 177,753.40, 266,781.30 and 72,647.80

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Solution

The fourth proportional to 177,753.40, 266,781.30 and 72,647.80 is: 109,033.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,753.40 : 266,781.30 = 72,647.80 : x
  2. Step 2: Convert to fraction form
    177,753.40/266,781.30 = 72,647.80/x
  3. Step 3: Cross multiply
    177,753.40x = 266,781.30 × 72,647.80
  4. Step 4: Simplify right side
    177,753.40x = 19,381,074,526.14
  5. Step 5: Solve for x
    x = 19,381,074,526.14/177,753.40
  6. Step 6: Final answer
    x = 109,033.50

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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.