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Finding the Fourth Proportional to 282,769.78, 424,143.60 and 95,781.28

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Solution

The fourth proportional to 282,769.78, 424,143.60 and 95,781.28 is: 143,668.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,769.78 : 424,143.60 = 95,781.28 : x
  2. Step 2: Convert to fraction form
    282,769.78/424,143.60 = 95,781.28/x
  3. Step 3: Cross multiply
    282,769.78x = 424,143.60 × 95,781.28
  4. Step 4: Simplify right side
    282,769.78x = 40,625,016,911.81
  5. Step 5: Solve for x
    x = 40,625,016,911.81/282,769.78
  6. Step 6: Final answer
    x = 143,668.17

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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.