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Finding the Fourth Proportional to 284,105.34, 426,227.40 and 94,565.34

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Solution

The fourth proportional to 284,105.34, 426,227.40 and 94,565.34 is: 141,871.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,105.34 : 426,227.40 = 94,565.34 : x
  2. Step 2: Convert to fraction form
    284,105.34/426,227.40 = 94,565.34/x
  3. Step 3: Cross multiply
    284,105.34x = 426,227.40 × 94,565.34
  4. Step 4: Simplify right side
    284,105.34x = 40,306,338,998.32
  5. Step 5: Solve for x
    x = 40,306,338,998.32/284,105.34
  6. Step 6: Final answer
    x = 141,871.11

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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.