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Finding the Fourth Proportional to 188,000.40, 282,000.60 and 132,013.20

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Solution

The fourth proportional to 188,000.40, 282,000.60 and 132,013.20 is: 198,019.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,000.40 : 282,000.60 = 132,013.20 : x
  2. Step 2: Convert to fraction form
    188,000.40/282,000.60 = 132,013.20/x
  3. Step 3: Cross multiply
    188,000.40x = 282,000.60 × 132,013.20
  4. Step 4: Simplify right side
    188,000.40x = 37,227,801,607.92
  5. Step 5: Solve for x
    x = 37,227,801,607.92/188,000.40
  6. Step 6: Final answer
    x = 198,019.80

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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.