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Finding the Fourth Proportional to 284,932.76, 393,202.35 and 157,608.25

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Solution

The fourth proportional to 284,932.76, 393,202.35 and 157,608.25 is: 217,496.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,932.76 : 393,202.35 = 157,608.25 : x
  2. Step 2: Convert to fraction form
    284,932.76/393,202.35 = 157,608.25/x
  3. Step 3: Cross multiply
    284,932.76x = 393,202.35 × 157,608.25
  4. Step 4: Simplify right side
    284,932.76x = 61,971,933,296.38
  5. Step 5: Solve for x
    x = 61,971,933,296.38/284,932.76
  6. Step 6: Final answer
    x = 217,496.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.