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Finding the Fourth Proportional to 151,565.80, 209,161.84 and 83,585.20

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Solution

The fourth proportional to 151,565.80, 209,161.84 and 83,585.20 is: 115,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,565.80 : 209,161.84 = 83,585.20 : x
  2. Step 2: Convert to fraction form
    151,565.80/209,161.84 = 83,585.20/x
  3. Step 3: Cross multiply
    151,565.80x = 209,161.84 × 83,585.20
  4. Step 4: Simplify right side
    151,565.80x = 17,482,834,228.77
  5. Step 5: Solve for x
    x = 17,482,834,228.77/151,565.80
  6. Step 6: Final answer
    x = 115,348.15

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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.