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Finding the Fourth Proportional to 195,758.34, 270,139.29 and 106,332.42

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Solution

The fourth proportional to 195,758.34, 270,139.29 and 106,332.42 is: 146,734.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,758.34 : 270,139.29 = 106,332.42 : x
  2. Step 2: Convert to fraction form
    195,758.34/270,139.29 = 106,332.42/x
  3. Step 3: Cross multiply
    195,758.34x = 270,139.29 × 106,332.42
  4. Step 4: Simplify right side
    195,758.34x = 28,724,564,442.78
  5. Step 5: Solve for x
    x = 28,724,564,442.78/195,758.34
  6. Step 6: Final answer
    x = 146,734.82

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