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Finding the Fourth Proportional to 142,065.42, 196,049.22 and 77,534.58

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Solution

The fourth proportional to 142,065.42, 196,049.22 and 77,534.58 is: 106,997.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,065.42 : 196,049.22 = 77,534.58 : x
  2. Step 2: Convert to fraction form
    142,065.42/196,049.22 = 77,534.58/x
  3. Step 3: Cross multiply
    142,065.42x = 196,049.22 × 77,534.58
  4. Step 4: Simplify right side
    142,065.42x = 15,200,593,932.03
  5. Step 5: Solve for x
    x = 15,200,593,932.03/142,065.42
  6. Step 6: Final answer
    x = 106,997.14

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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.