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Finding the Fourth Proportional to 284,251.22, 426,337.95 and 84,602.42

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Solution

The fourth proportional to 284,251.22, 426,337.95 and 84,602.42 is: 126,892.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,251.22 : 426,337.95 = 84,602.42 : x
  2. Step 2: Convert to fraction form
    284,251.22/426,337.95 = 84,602.42/x
  3. Step 3: Cross multiply
    284,251.22x = 426,337.95 × 84,602.42
  4. Step 4: Simplify right side
    284,251.22x = 36,069,222,307.84
  5. Step 5: Solve for x
    x = 36,069,222,307.84/284,251.22
  6. Step 6: Final answer
    x = 126,892.06

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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.