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Finding the Fourth Proportional to 104,523.90, 156,785.85 and 75,218.10

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Solution

The fourth proportional to 104,523.90, 156,785.85 and 75,218.10 is: 112,827.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,523.90 : 156,785.85 = 75,218.10 : x
  2. Step 2: Convert to fraction form
    104,523.90/156,785.85 = 75,218.10/x
  3. Step 3: Cross multiply
    104,523.90x = 156,785.85 × 75,218.10
  4. Step 4: Simplify right side
    104,523.90x = 11,793,133,743.89
  5. Step 5: Solve for x
    x = 11,793,133,743.89/104,523.90
  6. Step 6: Final answer
    x = 112,827.15

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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.