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Finding the Fourth Proportional to 282,757.53, 424,203.94 and 83,073.50

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Solution

The fourth proportional to 282,757.53, 424,203.94 and 83,073.50 is: 124,630.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,757.53 : 424,203.94 = 83,073.50 : x
  2. Step 2: Convert to fraction form
    282,757.53/424,203.94 = 83,073.50/x
  3. Step 3: Cross multiply
    282,757.53x = 424,203.94 × 83,073.50
  4. Step 4: Simplify right side
    282,757.53x = 35,240,105,115.89
  5. Step 5: Solve for x
    x = 35,240,105,115.89/282,757.53
  6. Step 6: Final answer
    x = 124,630.12

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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.