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Finding the Fourth Proportional to 159,233.78, 238,945.86 and 59,464.04

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Solution

The fourth proportional to 159,233.78, 238,945.86 and 59,464.04 is: 89,231.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,233.78 : 238,945.86 = 59,464.04 : x
  2. Step 2: Convert to fraction form
    159,233.78/238,945.86 = 59,464.04/x
  3. Step 3: Cross multiply
    159,233.78x = 238,945.86 × 59,464.04
  4. Step 4: Simplify right side
    159,233.78x = 14,208,686,176.87
  5. Step 5: Solve for x
    x = 14,208,686,176.87/159,233.78
  6. Step 6: Final answer
    x = 89,231.61

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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.