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Finding the Fourth Proportional to 282,786.48, 424,166.28 and 83,098.80

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Solution

The fourth proportional to 282,786.48, 424,166.28 and 83,098.80 is: 124,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,786.48 : 424,166.28 = 83,098.80 : x
  2. Step 2: Convert to fraction form
    282,786.48/424,166.28 = 83,098.80/x
  3. Step 3: Cross multiply
    282,786.48x = 424,166.28 × 83,098.80
  4. Step 4: Simplify right side
    282,786.48x = 35,247,708,868.46
  5. Step 5: Solve for x
    x = 35,247,708,868.46/282,786.48
  6. Step 6: Final answer
    x = 124,644.25

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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.