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Finding the Fourth Proportional to 157,136.28, 235,733.76 and 52,029.24

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Solution

The fourth proportional to 157,136.28, 235,733.76 and 52,029.24 is: 78,053.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,136.28 : 235,733.76 = 52,029.24 : x
  2. Step 2: Convert to fraction form
    157,136.28/235,733.76 = 52,029.24/x
  3. Step 3: Cross multiply
    157,136.28x = 235,733.76 × 52,029.24
  4. Step 4: Simplify right side
    157,136.28x = 12,265,048,375.14
  5. Step 5: Solve for x
    x = 12,265,048,375.14/157,136.28
  6. Step 6: Final answer
    x = 78,053.57

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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.