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Finding the Fourth Proportional to 284,157.47, 426,253.92 and 94,634.78

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Solution

The fourth proportional to 284,157.47, 426,253.92 and 94,634.78 is: 141,958.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,157.47 : 426,253.92 = 94,634.78 : x
  2. Step 2: Convert to fraction form
    284,157.47/426,253.92 = 94,634.78/x
  3. Step 3: Cross multiply
    284,157.47x = 426,253.92 × 94,634.78
  4. Step 4: Simplify right side
    284,157.47x = 40,338,443,812.07
  5. Step 5: Solve for x
    x = 40,338,443,812.07/284,157.47
  6. Step 6: Final answer
    x = 141,958.06

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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.