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Finding the Fourth Proportional to 252,484.92, 379,231.74 and 157,883.40

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Solution

The fourth proportional to 252,484.92, 379,231.74 and 157,883.40 is: 237,140.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    252,484.92 : 379,231.74 = 157,883.40 : x
  2. Step 2: Convert to fraction form
    252,484.92/379,231.74 = 157,883.40/x
  3. Step 3: Cross multiply
    252,484.92x = 379,231.74 × 157,883.40
  4. Step 4: Simplify right side
    252,484.92x = 59,874,396,499.12
  5. Step 5: Solve for x
    x = 59,874,396,499.12/252,484.92
  6. Step 6: Final answer
    x = 237,140.49

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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.