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Finding the Fourth Proportional to 361,588.12, 542,627.24 and 148,394.50

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Solution

The fourth proportional to 361,588.12, 542,627.24 and 148,394.50 is: 222,692.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,588.12 : 542,627.24 = 148,394.50 : x
  2. Step 2: Convert to fraction form
    361,588.12/542,627.24 = 148,394.50/x
  3. Step 3: Cross multiply
    361,588.12x = 542,627.24 × 148,394.50
  4. Step 4: Simplify right side
    361,588.12x = 80,522,895,867.64
  5. Step 5: Solve for x
    x = 80,522,895,867.64/361,588.12
  6. Step 6: Final answer
    x = 222,692.32

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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.