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Finding the Fourth Proportional to 154,643.04, 232,053.84 and 83,565.90

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Solution

The fourth proportional to 154,643.04, 232,053.84 and 83,565.90 is: 125,397.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,643.04 : 232,053.84 = 83,565.90 : x
  2. Step 2: Convert to fraction form
    154,643.04/232,053.84 = 83,565.90/x
  3. Step 3: Cross multiply
    154,643.04x = 232,053.84 × 83,565.90
  4. Step 4: Simplify right side
    154,643.04x = 19,391,787,988.06
  5. Step 5: Solve for x
    x = 19,391,787,988.06/154,643.04
  6. Step 6: Final answer
    x = 125,397.10

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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.