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Finding the Fourth Proportional to 282,984.52, 424,330.71 and 83,278.98

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Solution

The fourth proportional to 282,984.52, 424,330.71 and 83,278.98 is: 124,875.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,984.52 : 424,330.71 = 83,278.98 : x
  2. Step 2: Convert to fraction form
    282,984.52/424,330.71 = 83,278.98/x
  3. Step 3: Cross multiply
    282,984.52x = 424,330.71 × 83,278.98
  4. Step 4: Simplify right side
    282,984.52x = 35,337,828,711.48
  5. Step 5: Solve for x
    x = 35,337,828,711.48/282,984.52
  6. Step 6: Final answer
    x = 124,875.48

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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.