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Finding the Fourth Proportional to 198,000.96, 296,996.40 and 57,760.80

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Solution

The fourth proportional to 198,000.96, 296,996.40 and 57,760.80 is: 86,639.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,000.96 : 296,996.40 = 57,760.80 : x
  2. Step 2: Convert to fraction form
    198,000.96/296,996.40 = 57,760.80/x
  3. Step 3: Cross multiply
    198,000.96x = 296,996.40 × 57,760.80
  4. Step 4: Simplify right side
    198,000.96x = 17,154,749,661.12
  5. Step 5: Solve for x
    x = 17,154,749,661.12/198,000.96
  6. Step 6: Final answer
    x = 86,639.73

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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.