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Finding the Fourth Proportional to 130,082.60, 195,082.38 and 41,315.34

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Solution

The fourth proportional to 130,082.60, 195,082.38 and 41,315.34 is: 61,959.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,082.60 : 195,082.38 = 41,315.34 : x
  2. Step 2: Convert to fraction form
    130,082.60/195,082.38 = 41,315.34/x
  3. Step 3: Cross multiply
    130,082.60x = 195,082.38 × 41,315.34
  4. Step 4: Simplify right side
    130,082.60x = 8,059,894,857.71
  5. Step 5: Solve for x
    x = 8,059,894,857.71/130,082.60
  6. Step 6: Final answer
    x = 61,959.82

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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.