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Finding the Fourth Proportional to 159,098.06, 238,584.57 and 57,872.06

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Solution

The fourth proportional to 159,098.06, 238,584.57 and 57,872.06 is: 86,785.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,098.06 : 238,584.57 = 57,872.06 : x
  2. Step 2: Convert to fraction form
    159,098.06/238,584.57 = 57,872.06/x
  3. Step 3: Cross multiply
    159,098.06x = 238,584.57 × 57,872.06
  4. Step 4: Simplify right side
    159,098.06x = 13,807,380,550.11
  5. Step 5: Solve for x
    x = 13,807,380,550.11/159,098.06
  6. Step 6: Final answer
    x = 86,785.35

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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.