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Finding the Fourth Proportional to 159,713.10, 239,569.65 and 89,583.30

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Solution

The fourth proportional to 159,713.10, 239,569.65 and 89,583.30 is: 134,374.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,713.10 : 239,569.65 = 89,583.30 : x
  2. Step 2: Convert to fraction form
    159,713.10/239,569.65 = 89,583.30/x
  3. Step 3: Cross multiply
    159,713.10x = 239,569.65 × 89,583.30
  4. Step 4: Simplify right side
    159,713.10x = 21,461,439,826.85
  5. Step 5: Solve for x
    x = 21,461,439,826.85/159,713.10
  6. Step 6: Final answer
    x = 134,374.95

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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.