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Finding the Fourth Proportional to 177,641.18, 266,503.54 and 57,697.70

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Solution

The fourth proportional to 177,641.18, 266,503.54 and 57,697.70 is: 86,560.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,641.18 : 266,503.54 = 57,697.70 : x
  2. Step 2: Convert to fraction form
    177,641.18/266,503.54 = 57,697.70/x
  3. Step 3: Cross multiply
    177,641.18x = 266,503.54 × 57,697.70
  4. Step 4: Simplify right side
    177,641.18x = 15,376,641,299.86
  5. Step 5: Solve for x
    x = 15,376,641,299.86/177,641.18
  6. Step 6: Final answer
    x = 86,560.12

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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.