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Finding the Fourth Proportional to 145,414.10, 217,852.35 and 82,898.90

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Solution

The fourth proportional to 145,414.10, 217,852.35 and 82,898.90 is: 124,195.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,414.10 : 217,852.35 = 82,898.90 : x
  2. Step 2: Convert to fraction form
    145,414.10/217,852.35 = 82,898.90/x
  3. Step 3: Cross multiply
    145,414.10x = 217,852.35 × 82,898.90
  4. Step 4: Simplify right side
    145,414.10x = 18,059,720,177.42
  5. Step 5: Solve for x
    x = 18,059,720,177.42/145,414.10
  6. Step 6: Final answer
    x = 124,195.11

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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.