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Finding the Fourth Proportional to 142,927.68, 214,399.92 and 48,150

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Solution

The fourth proportional to 142,927.68, 214,399.92 and 48,150 is: 72,227.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,927.68 : 214,399.92 = 48,150 : x
  2. Step 2: Convert to fraction form
    142,927.68/214,399.92 = 48,150/x
  3. Step 3: Cross multiply
    142,927.68x = 214,399.92 × 48,150
  4. Step 4: Simplify right side
    142,927.68x = 10,323,356,148
  5. Step 5: Solve for x
    x = 10,323,356,148/142,927.68
  6. Step 6: Final answer
    x = 72,227.83

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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.