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Finding the Fourth Proportional to 157,339.20, 235,987.20 and 52,147.20

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Solution

The fourth proportional to 157,339.20, 235,987.20 and 52,147.20 is: 78,213.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,339.20 : 235,987.20 = 52,147.20 : x
  2. Step 2: Convert to fraction form
    157,339.20/235,987.20 = 52,147.20/x
  3. Step 3: Cross multiply
    157,339.20x = 235,987.20 × 52,147.20
  4. Step 4: Simplify right side
    157,339.20x = 12,306,071,715.84
  5. Step 5: Solve for x
    x = 12,306,071,715.84/157,339.20
  6. Step 6: Final answer
    x = 78,213.64

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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.