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Finding the Fourth Proportional to 195,972, 270,433.53 and 115,402.92

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Solution

The fourth proportional to 195,972, 270,433.53 and 115,402.92 is: 159,251.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,972 : 270,433.53 = 115,402.92 : x
  2. Step 2: Convert to fraction form
    195,972/270,433.53 = 115,402.92/x
  3. Step 3: Cross multiply
    195,972x = 270,433.53 × 115,402.92
  4. Step 4: Simplify right side
    195,972x = 31,208,819,027.91
  5. Step 5: Solve for x
    x = 31,208,819,027.91/195,972
  6. Step 6: Final answer
    x = 159,251.42

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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.