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Finding the Fourth Proportional to 142,510.20, 213,736.14 and 49,023.24

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Solution

The fourth proportional to 142,510.20, 213,736.14 and 49,023.24 is: 73,524.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,510.20 : 213,736.14 = 49,023.24 : x
  2. Step 2: Convert to fraction form
    142,510.20/213,736.14 = 49,023.24/x
  3. Step 3: Cross multiply
    142,510.20x = 213,736.14 × 49,023.24
  4. Step 4: Simplify right side
    142,510.20x = 10,478,038,087.89
  5. Step 5: Solve for x
    x = 10,478,038,087.89/142,510.20
  6. Step 6: Final answer
    x = 73,524.83

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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.