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Finding the Fourth Proportional to 192,263.84, 288,428.52 and 59,141.20

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Solution

The fourth proportional to 192,263.84, 288,428.52 and 59,141.20 is: 88,721.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    192,263.84 : 288,428.52 = 59,141.20 : x
  2. Step 2: Convert to fraction form
    192,263.84/288,428.52 = 59,141.20/x
  3. Step 3: Cross multiply
    192,263.84x = 288,428.52 × 59,141.20
  4. Step 4: Simplify right side
    192,263.84x = 17,058,008,787.02
  5. Step 5: Solve for x
    x = 17,058,008,787.02/192,263.84
  6. Step 6: Final answer
    x = 88,721.88

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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.