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Finding the Fourth Proportional to 157,224.78, 235,874.08 and 52,043.75

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Solution

The fourth proportional to 157,224.78, 235,874.08 and 52,043.75 is: 78,077.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    157,224.78 : 235,874.08 = 52,043.75 : x
  2. Step 2: Convert to fraction form
    157,224.78/235,874.08 = 52,043.75/x
  3. Step 3: Cross multiply
    157,224.78x = 235,874.08 × 52,043.75
  4. Step 4: Simplify right side
    157,224.78x = 12,275,771,651
  5. Step 5: Solve for x
    x = 12,275,771,651/157,224.78
  6. Step 6: Final answer
    x = 78,077.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.