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Finding the Fourth Proportional to 282,903.64, 424,295.82 and 83,169.79

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Solution

The fourth proportional to 282,903.64, 424,295.82 and 83,169.79 is: 124,737.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,903.64 : 424,295.82 = 83,169.79 : x
  2. Step 2: Convert to fraction form
    282,903.64/424,295.82 = 83,169.79/x
  3. Step 3: Cross multiply
    282,903.64x = 424,295.82 × 83,169.79
  4. Step 4: Simplify right side
    282,903.64x = 35,288,593,186.54
  5. Step 5: Solve for x
    x = 35,288,593,186.54/282,903.64
  6. Step 6: Final answer
    x = 124,737.15

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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.