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Finding the Fourth Proportional to 197,488.80, 296,233.20 and 121,381.20

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Solution

The fourth proportional to 197,488.80, 296,233.20 and 121,381.20 is: 182,071.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,488.80 : 296,233.20 = 121,381.20 : x
  2. Step 2: Convert to fraction form
    197,488.80/296,233.20 = 121,381.20/x
  3. Step 3: Cross multiply
    197,488.80x = 296,233.20 × 121,381.20
  4. Step 4: Simplify right side
    197,488.80x = 35,957,141,295.84
  5. Step 5: Solve for x
    x = 35,957,141,295.84/197,488.80
  6. Step 6: Final answer
    x = 182,071.80

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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.