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Finding the Fourth Proportional to 284,882.82, 393,144.21 and 157,567.02

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Solution

The fourth proportional to 284,882.82, 393,144.21 and 157,567.02 is: 217,445.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,882.82 : 393,144.21 = 157,567.02 : x
  2. Step 2: Convert to fraction form
    284,882.82/393,144.21 = 157,567.02/x
  3. Step 3: Cross multiply
    284,882.82x = 393,144.21 × 157,567.02
  4. Step 4: Simplify right side
    284,882.82x = 61,946,561,599.95
  5. Step 5: Solve for x
    x = 61,946,561,599.95/284,882.82
  6. Step 6: Final answer
    x = 217,445.76

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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.