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Finding the Fourth Proportional to 157,334.83, 235,914.76 and 52,096.39

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Solution

The fourth proportional to 157,334.83, 235,914.76 and 52,096.39 is: 78,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,334.83 : 235,914.76 = 52,096.39 : x
  2. Step 2: Convert to fraction form
    157,334.83/235,914.76 = 52,096.39/x
  3. Step 3: Cross multiply
    157,334.83x = 235,914.76 × 52,096.39
  4. Step 4: Simplify right side
    157,334.83x = 12,290,307,343.72
  5. Step 5: Solve for x
    x = 12,290,307,343.72/157,334.83
  6. Step 6: Final answer
    x = 78,115.62

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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.