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Finding the Fourth Proportional to 282,033.52, 422,925.76 and 132,152.76

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Solution

The fourth proportional to 282,033.52, 422,925.76 and 132,152.76 is: 198,170.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,033.52 : 422,925.76 = 132,152.76 : x
  2. Step 2: Convert to fraction form
    282,033.52/422,925.76 = 132,152.76/x
  3. Step 3: Cross multiply
    282,033.52x = 422,925.76 × 132,152.76
  4. Step 4: Simplify right side
    282,033.52x = 55,890,806,459.10
  5. Step 5: Solve for x
    x = 55,890,806,459.10/282,033.52
  6. Step 6: Final answer
    x = 198,170.79

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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.