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Finding the Fourth Proportional to 197,402.40, 272,414.51 and 106,758.46

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Solution

The fourth proportional to 197,402.40, 272,414.51 and 106,758.46 is: 147,326.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,402.40 : 272,414.51 = 106,758.46 : x
  2. Step 2: Convert to fraction form
    197,402.40/272,414.51 = 106,758.46/x
  3. Step 3: Cross multiply
    197,402.40x = 272,414.51 × 106,758.46
  4. Step 4: Simplify right side
    197,402.40x = 29,082,552,207.18
  5. Step 5: Solve for x
    x = 29,082,552,207.18/197,402.40
  6. Step 6: Final answer
    x = 147,326.24

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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.