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Finding the Fourth Proportional to 142,096.77, 213,099.02 and 47,301.50

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Solution

The fourth proportional to 142,096.77, 213,099.02 and 47,301.50 is: 70,936.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,096.77 : 213,099.02 = 47,301.50 : x
  2. Step 2: Convert to fraction form
    142,096.77/213,099.02 = 47,301.50/x
  3. Step 3: Cross multiply
    142,096.77x = 213,099.02 × 47,301.50
  4. Step 4: Simplify right side
    142,096.77x = 10,079,901,992.53
  5. Step 5: Solve for x
    x = 10,079,901,992.53/142,096.77
  6. Step 6: Final answer
    x = 70,936.88

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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.