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Finding the Fourth Proportional to 282,034.52, 422,927.26 and 132,153.76

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Solution

The fourth proportional to 282,034.52, 422,927.26 and 132,153.76 is: 198,172.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,034.52 : 422,927.26 = 132,153.76 : x
  2. Step 2: Convert to fraction form
    282,034.52/422,927.26 = 132,153.76/x
  3. Step 3: Cross multiply
    282,034.52x = 422,927.26 × 132,153.76
  4. Step 4: Simplify right side
    282,034.52x = 55,891,427,615.50
  5. Step 5: Solve for x
    x = 55,891,427,615.50/282,034.52
  6. Step 6: Final answer
    x = 198,172.29

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1.5x scale

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.