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Finding the Fourth Proportional to 282,035.52, 422,928.76 and 132,154.76

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Solution

The fourth proportional to 282,035.52, 422,928.76 and 132,154.76 is: 198,173.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,035.52 : 422,928.76 = 132,154.76 : x
  2. Step 2: Convert to fraction form
    282,035.52/422,928.76 = 132,154.76/x
  3. Step 3: Cross multiply
    282,035.52x = 422,928.76 × 132,154.76
  4. Step 4: Simplify right side
    282,035.52x = 55,892,048,774.90
  5. Step 5: Solve for x
    x = 55,892,048,774.90/282,035.52
  6. Step 6: Final answer
    x = 198,173.79

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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.