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Finding the Fourth Proportional to 282,663, 424,188.90 and 116,451

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Solution

The fourth proportional to 282,663, 424,188.90 and 116,451 is: 174,756.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,663 : 424,188.90 = 116,451 : x
  2. Step 2: Convert to fraction form
    282,663/424,188.90 = 116,451/x
  3. Step 3: Cross multiply
    282,663x = 424,188.90 × 116,451
  4. Step 4: Simplify right side
    282,663x = 49,397,221,593.90
  5. Step 5: Solve for x
    x = 49,397,221,593.90/282,663
  6. Step 6: Final answer
    x = 174,756.59

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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.