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Finding the Fourth Proportional to 104,565.91, 144,301.87 and 56,819.26

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Solution

The fourth proportional to 104,565.91, 144,301.87 and 56,819.26 is: 78,411.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,565.91 : 144,301.87 = 56,819.26 : x
  2. Step 2: Convert to fraction form
    104,565.91/144,301.87 = 56,819.26/x
  3. Step 3: Cross multiply
    104,565.91x = 144,301.87 × 56,819.26
  4. Step 4: Simplify right side
    104,565.91x = 8,199,125,470.02
  5. Step 5: Solve for x
    x = 8,199,125,470.02/104,565.91
  6. Step 6: Final answer
    x = 78,411.08

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.