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Finding the Fourth Proportional to 157,224.91, 235,874.27 and 52,043.88

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Solution

The fourth proportional to 157,224.91, 235,874.27 and 52,043.88 is: 78,078.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224.91 : 235,874.27 = 52,043.88 : x
  2. Step 2: Convert to fraction form
    157,224.91/235,874.27 = 52,043.88/x
  3. Step 3: Cross multiply
    157,224.91x = 235,874.27 × 52,043.88
  4. Step 4: Simplify right side
    157,224.91x = 12,275,810,763.38
  5. Step 5: Solve for x
    x = 12,275,810,763.38/157,224.91
  6. Step 6: Final answer
    x = 78,078.03

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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.