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Finding the Fourth Proportional to 142,082.64, 196,074.54 and 78,422.58

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Solution

The fourth proportional to 142,082.64, 196,074.54 and 78,422.58 is: 108,223.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,082.64 : 196,074.54 = 78,422.58 : x
  2. Step 2: Convert to fraction form
    142,082.64/196,074.54 = 78,422.58/x
  3. Step 3: Cross multiply
    142,082.64x = 196,074.54 × 78,422.58
  4. Step 4: Simplify right side
    142,082.64x = 15,376,671,299.11
  5. Step 5: Solve for x
    x = 15,376,671,299.11/142,082.64
  6. Step 6: Final answer
    x = 108,223.43

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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.