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Finding the Fourth Proportional to 104,565.97, 144,301.91 and 56,819.32

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Solution

The fourth proportional to 104,565.97, 144,301.91 and 56,819.32 is: 78,411.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,565.97 : 144,301.91 = 56,819.32 : x
  2. Step 2: Convert to fraction form
    104,565.97/144,301.91 = 56,819.32/x
  3. Step 3: Cross multiply
    104,565.97x = 144,301.91 × 56,819.32
  4. Step 4: Simplify right side
    104,565.97x = 8,199,136,400.90
  5. Step 5: Solve for x
    x = 8,199,136,400.90/104,565.97
  6. Step 6: Final answer
    x = 78,411.14

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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.