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Finding the Fourth Proportional to 136,692.40, 205,096.20 and 74,407.60

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Solution

The fourth proportional to 136,692.40, 205,096.20 and 74,407.60 is: 111,642.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,692.40 : 205,096.20 = 74,407.60 : x
  2. Step 2: Convert to fraction form
    136,692.40/205,096.20 = 74,407.60/x
  3. Step 3: Cross multiply
    136,692.40x = 205,096.20 × 74,407.60
  4. Step 4: Simplify right side
    136,692.40x = 15,260,716,011.12
  5. Step 5: Solve for x
    x = 15,260,716,011.12/136,692.40
  6. Step 6: Final answer
    x = 111,642.75

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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.