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Finding the Fourth Proportional to 177,322.60, 266,060.70 and 83,780.20

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Solution

The fourth proportional to 177,322.60, 266,060.70 and 83,780.20 is: 125,706.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,322.60 : 266,060.70 = 83,780.20 : x
  2. Step 2: Convert to fraction form
    177,322.60/266,060.70 = 83,780.20/x
  3. Step 3: Cross multiply
    177,322.60x = 266,060.70 × 83,780.20
  4. Step 4: Simplify right side
    177,322.60x = 22,290,618,658.14
  5. Step 5: Solve for x
    x = 22,290,618,658.14/177,322.60
  6. Step 6: Final answer
    x = 125,706.59

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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.