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Finding the Fourth Proportional to 157,343.28, 235,963.88 and 52,134

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Solution

The fourth proportional to 157,343.28, 235,963.88 and 52,134 is: 78,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,343.28 : 235,963.88 = 52,134 : x
  2. Step 2: Convert to fraction form
    157,343.28/235,963.88 = 52,134/x
  3. Step 3: Cross multiply
    157,343.28x = 235,963.88 × 52,134
  4. Step 4: Simplify right side
    157,343.28x = 12,301,740,919.92
  5. Step 5: Solve for x
    x = 12,301,740,919.92/157,343.28
  6. Step 6: Final answer
    x = 78,184.09

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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.