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Finding the Fourth Proportional to 147,078.62, 220,574.10 and 53,562.50

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Solution

The fourth proportional to 147,078.62, 220,574.10 and 53,562.50 is: 80,327.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,078.62 : 220,574.10 = 53,562.50 : x
  2. Step 2: Convert to fraction form
    147,078.62/220,574.10 = 53,562.50/x
  3. Step 3: Cross multiply
    147,078.62x = 220,574.10 × 53,562.50
  4. Step 4: Simplify right side
    147,078.62x = 11,814,500,231.25
  5. Step 5: Solve for x
    x = 11,814,500,231.25/147,078.62
  6. Step 6: Final answer
    x = 80,327.79

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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.