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Finding the Fourth Proportional to 194,562.96, 291,318.04 and 100,871.76

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Solution

The fourth proportional to 194,562.96, 291,318.04 and 100,871.76 is: 151,034.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,562.96 : 291,318.04 = 100,871.76 : x
  2. Step 2: Convert to fraction form
    194,562.96/291,318.04 = 100,871.76/x
  3. Step 3: Cross multiply
    194,562.96x = 291,318.04 × 100,871.76
  4. Step 4: Simplify right side
    194,562.96x = 29,385,763,414.55
  5. Step 5: Solve for x
    x = 29,385,763,414.55/194,562.96
  6. Step 6: Final answer
    x = 151,034.73

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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.