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Finding the Fourth Proportional to 159,165.96, 238,749.22 and 52,555.88

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Solution

The fourth proportional to 159,165.96, 238,749.22 and 52,555.88 is: 78,833.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,165.96 : 238,749.22 = 52,555.88 : x
  2. Step 2: Convert to fraction form
    159,165.96/238,749.22 = 52,555.88/x
  3. Step 3: Cross multiply
    159,165.96x = 238,749.22 × 52,555.88
  4. Step 4: Simplify right side
    159,165.96x = 12,547,675,356.41
  5. Step 5: Solve for x
    x = 12,547,675,356.41/159,165.96
  6. Step 6: Final answer
    x = 78,833.91

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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.