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Finding the Fourth Proportional to 159,828, 239,753.52 and 61,332

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Solution

The fourth proportional to 159,828, 239,753.52 and 61,332 is: 92,002.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,828 : 239,753.52 = 61,332 : x
  2. Step 2: Convert to fraction form
    159,828/239,753.52 = 61,332/x
  3. Step 3: Cross multiply
    159,828x = 239,753.52 × 61,332
  4. Step 4: Simplify right side
    159,828x = 14,704,562,888.64
  5. Step 5: Solve for x
    x = 14,704,562,888.64/159,828
  6. Step 6: Final answer
    x = 92,002.42

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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.