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Finding the Fourth Proportional to 177,562.31, 266,343.45 and 65,193.90

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Solution

The fourth proportional to 177,562.31, 266,343.45 and 65,193.90 is: 97,790.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,562.31 : 266,343.45 = 65,193.90 : x
  2. Step 2: Convert to fraction form
    177,562.31/266,343.45 = 65,193.90/x
  3. Step 3: Cross multiply
    177,562.31x = 266,343.45 × 65,193.90
  4. Step 4: Simplify right side
    177,562.31x = 17,363,968,244.96
  5. Step 5: Solve for x
    x = 17,363,968,244.96/177,562.31
  6. Step 6: Final answer
    x = 97,790.85

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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.