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Finding the Fourth Proportional to 142,124.71, 213,115.76 and 47,321.50

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Solution

The fourth proportional to 142,124.71, 213,115.76 and 47,321.50 is: 70,958.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,124.71 : 213,115.76 = 47,321.50 : x
  2. Step 2: Convert to fraction form
    142,124.71/213,115.76 = 47,321.50/x
  3. Step 3: Cross multiply
    142,124.71x = 213,115.76 × 47,321.50
  4. Step 4: Simplify right side
    142,124.71x = 10,084,957,436.84
  5. Step 5: Solve for x
    x = 10,084,957,436.84/142,124.71
  6. Step 6: Final answer
    x = 70,958.51

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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.