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Finding the Fourth Proportional to 159,002.10, 238,354.88 and 53,747.46

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Solution

The fourth proportional to 159,002.10, 238,354.88 and 53,747.46 is: 80,571.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    159,002.10 : 238,354.88 = 53,747.46 : x
  2. Step 2: Convert to fraction form
    159,002.10/238,354.88 = 53,747.46/x
  3. Step 3: Cross multiply
    159,002.10x = 238,354.88 × 53,747.46
  4. Step 4: Simplify right side
    159,002.10x = 12,810,969,109.87
  5. Step 5: Solve for x
    x = 12,810,969,109.87/159,002.10
  6. Step 6: Final answer
    x = 80,571.07

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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.