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Finding the Fourth Proportional to 192,257.84, 288,419.52 and 59,135.20

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Solution

The fourth proportional to 192,257.84, 288,419.52 and 59,135.20 is: 88,712.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,257.84 : 288,419.52 = 59,135.20 : x
  2. Step 2: Convert to fraction form
    192,257.84/288,419.52 = 59,135.20/x
  3. Step 3: Cross multiply
    192,257.84x = 288,419.52 × 59,135.20
  4. Step 4: Simplify right side
    192,257.84x = 17,055,745,999.10
  5. Step 5: Solve for x
    x = 17,055,745,999.10/192,257.84
  6. Step 6: Final answer
    x = 88,712.88

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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.