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Finding the Fourth Proportional to 282,989.52, 424,338.18 and 83,283.96

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Solution

The fourth proportional to 282,989.52, 424,338.18 and 83,283.96 is: 124,882.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,989.52 : 424,338.18 = 83,283.96 : x
  2. Step 2: Convert to fraction form
    282,989.52/424,338.18 = 83,283.96/x
  3. Step 3: Cross multiply
    282,989.52x = 424,338.18 × 83,283.96
  4. Step 4: Simplify right side
    282,989.52x = 35,340,564,009.59
  5. Step 5: Solve for x
    x = 35,340,564,009.59/282,989.52
  6. Step 6: Final answer
    x = 124,882.94

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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.