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Finding the Fourth Proportional to 142,812.18, 214,143.39 and 49,295.70

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Solution

The fourth proportional to 142,812.18, 214,143.39 and 49,295.70 is: 73,917.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,812.18 : 214,143.39 = 49,295.70 : x
  2. Step 2: Convert to fraction form
    142,812.18/214,143.39 = 49,295.70/x
  3. Step 3: Cross multiply
    142,812.18x = 214,143.39 × 49,295.70
  4. Step 4: Simplify right side
    142,812.18x = 10,556,348,310.42
  5. Step 5: Solve for x
    x = 10,556,348,310.42/142,812.18
  6. Step 6: Final answer
    x = 73,917.70

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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.