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Finding the Fourth Proportional to 157,219.60, 235,829.40 and 52,049.20

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Solution

The fourth proportional to 157,219.60, 235,829.40 and 52,049.20 is: 78,073.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,219.60 : 235,829.40 = 52,049.20 : x
  2. Step 2: Convert to fraction form
    157,219.60/235,829.40 = 52,049.20/x
  3. Step 3: Cross multiply
    157,219.60x = 235,829.40 × 52,049.20
  4. Step 4: Simplify right side
    157,219.60x = 12,274,731,606.48
  5. Step 5: Solve for x
    x = 12,274,731,606.48/157,219.60
  6. Step 6: Final answer
    x = 78,073.80

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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.