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Finding the Fourth Proportional to 136,819.56, 205,260.12 and 48,079.20

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Solution

The fourth proportional to 136,819.56, 205,260.12 and 48,079.20 is: 72,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,819.56 : 205,260.12 = 48,079.20 : x
  2. Step 2: Convert to fraction form
    136,819.56/205,260.12 = 48,079.20/x
  3. Step 3: Cross multiply
    136,819.56x = 205,260.12 × 48,079.20
  4. Step 4: Simplify right side
    136,819.56x = 9,868,742,361.50
  5. Step 5: Solve for x
    x = 9,868,742,361.50/136,819.56
  6. Step 6: Final answer
    x = 72,129.62

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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.