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Finding the Fourth Proportional to 197,740.38, 296,610.11 and 47,980.55

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Solution

The fourth proportional to 197,740.38, 296,610.11 and 47,980.55 is: 71,970.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,740.38 : 296,610.11 = 47,980.55 : x
  2. Step 2: Convert to fraction form
    197,740.38/296,610.11 = 47,980.55/x
  3. Step 3: Cross multiply
    197,740.38x = 296,610.11 × 47,980.55
  4. Step 4: Simplify right side
    197,740.38x = 14,231,516,894.91
  5. Step 5: Solve for x
    x = 14,231,516,894.91/197,740.38
  6. Step 6: Final answer
    x = 71,970.72

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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.