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Finding the Fourth Proportional to 282,966.28, 424,403.28 and 83,239.96

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Solution

The fourth proportional to 282,966.28, 424,403.28 and 83,239.96 is: 124,846.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,966.28 : 424,403.28 = 83,239.96 : x
  2. Step 2: Convert to fraction form
    282,966.28/424,403.28 = 83,239.96/x
  3. Step 3: Cross multiply
    282,966.28x = 424,403.28 × 83,239.96
  4. Step 4: Simplify right side
    282,966.28x = 35,327,311,622.05
  5. Step 5: Solve for x
    x = 35,327,311,622.05/282,966.28
  6. Step 6: Final answer
    x = 124,846.36

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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.