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Finding the Fourth Proportional to 195,932.30, 293,981.65 and 107,082

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Solution

The fourth proportional to 195,932.30, 293,981.65 and 107,082 is: 160,668.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    195,932.30 : 293,981.65 = 107,082 : x
  2. Step 2: Convert to fraction form
    195,932.30/293,981.65 = 107,082/x
  3. Step 3: Cross multiply
    195,932.30x = 293,981.65 × 107,082
  4. Step 4: Simplify right side
    195,932.30x = 31,480,142,777.60
  5. Step 5: Solve for x
    x = 31,480,142,777.60/195,932.30
  6. Step 6: Final answer
    x = 160,668.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.