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Finding the Fourth Proportional to 198,178.38, 273,713.31 and 130,497.93

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Solution

The fourth proportional to 198,178.38, 273,713.31 and 130,497.93 is: 180,236.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    198,178.38 : 273,713.31 = 130,497.93 : x
  2. Step 2: Convert to fraction form
    198,178.38/273,713.31 = 130,497.93/x
  3. Step 3: Cross multiply
    198,178.38x = 273,713.31 × 130,497.93
  4. Step 4: Simplify right side
    198,178.38x = 35,719,020,368.45
  5. Step 5: Solve for x
    x = 35,719,020,368.45/198,178.38
  6. Step 6: Final answer
    x = 180,236.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.