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Finding the Fourth Proportional to 142,206.70, 213,252.45 and 48,664.30

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Solution

The fourth proportional to 142,206.70, 213,252.45 and 48,664.30 is: 72,976.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,206.70 : 213,252.45 = 48,664.30 : x
  2. Step 2: Convert to fraction form
    142,206.70/213,252.45 = 48,664.30/x
  3. Step 3: Cross multiply
    142,206.70x = 213,252.45 × 48,664.30
  4. Step 4: Simplify right side
    142,206.70x = 10,377,781,202.54
  5. Step 5: Solve for x
    x = 10,377,781,202.54/142,206.70
  6. Step 6: Final answer
    x = 72,976.74

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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.