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Finding the Fourth Proportional to 282,687.78, 424,108.20 and 95,699.28

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Solution

The fourth proportional to 282,687.78, 424,108.20 and 95,699.28 is: 143,574.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,687.78 : 424,108.20 = 95,699.28 : x
  2. Step 2: Convert to fraction form
    282,687.78/424,108.20 = 95,699.28/x
  3. Step 3: Cross multiply
    282,687.78x = 424,108.20 × 95,699.28
  4. Step 4: Simplify right side
    282,687.78x = 40,586,849,382.10
  5. Step 5: Solve for x
    x = 40,586,849,382.10/282,687.78
  6. Step 6: Final answer
    x = 143,574.83

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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.