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Finding the Fourth Proportional to 119,565.90, 165,002.00 and 65,852.78

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Solution

The fourth proportional to 119,565.90, 165,002.00 and 65,852.78 is: 90,877.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,565.90 : 165,002.00 = 65,852.78 : x
  2. Step 2: Convert to fraction form
    119,565.90/165,002.00 = 65,852.78/x
  3. Step 3: Cross multiply
    119,565.90x = 165,002.00 × 65,852.78
  4. Step 4: Simplify right side
    119,565.90x = 10,865,839,251.29
  5. Step 5: Solve for x
    x = 10,865,839,251.29/119,565.90
  6. Step 6: Final answer
    x = 90,877.41

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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.