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Finding the Fourth Proportional to 282,991.02, 424,340.43 and 83,285.46

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Solution

The fourth proportional to 282,991.02, 424,340.43 and 83,285.46 is: 124,885.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,991.02 : 424,340.43 = 83,285.46 : x
  2. Step 2: Convert to fraction form
    282,991.02/424,340.43 = 83,285.46/x
  3. Step 3: Cross multiply
    282,991.02x = 424,340.43 × 83,285.46
  4. Step 4: Simplify right side
    282,991.02x = 35,341,387,909.15
  5. Step 5: Solve for x
    x = 35,341,387,909.15/282,991.02
  6. Step 6: Final answer
    x = 124,885.19

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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.