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Finding the Fourth Proportional to 132,809.40, 199,214.10 and 49,692.60

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Solution

The fourth proportional to 132,809.40, 199,214.10 and 49,692.60 is: 74,538.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,809.40 : 199,214.10 = 49,692.60 : x
  2. Step 2: Convert to fraction form
    132,809.40/199,214.10 = 49,692.60/x
  3. Step 3: Cross multiply
    132,809.40x = 199,214.10 × 49,692.60
  4. Step 4: Simplify right side
    132,809.40x = 9,899,466,585.66
  5. Step 5: Solve for x
    x = 9,899,466,585.66/132,809.40
  6. Step 6: Final answer
    x = 74,538.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.