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Finding the Fourth Proportional to 142,711.40, 214,016.70 and 49,195.40

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Solution

The fourth proportional to 142,711.40, 214,016.70 and 49,195.40 is: 73,775.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,711.40 : 214,016.70 = 49,195.40 : x
  2. Step 2: Convert to fraction form
    142,711.40/214,016.70 = 49,195.40/x
  3. Step 3: Cross multiply
    142,711.40x = 214,016.70 × 49,195.40
  4. Step 4: Simplify right side
    142,711.40x = 10,528,637,163.18
  5. Step 5: Solve for x
    x = 10,528,637,163.18/142,711.40
  6. Step 6: Final answer
    x = 73,775.73

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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.