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Finding the Fourth Proportional to 284,550.82, 426,487.11 and 132,543.94

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Solution

The fourth proportional to 284,550.82, 426,487.11 and 132,543.94 is: 198,657.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,550.82 : 426,487.11 = 132,543.94 : x
  2. Step 2: Convert to fraction form
    284,550.82/426,487.11 = 132,543.94/x
  3. Step 3: Cross multiply
    284,550.82x = 426,487.11 × 132,543.94
  4. Step 4: Simplify right side
    284,550.82x = 56,528,281,918.61
  5. Step 5: Solve for x
    x = 56,528,281,918.61/284,550.82
  6. Step 6: Final answer
    x = 198,657.95

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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.