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Finding the Fourth Proportional to 136,833.56, 205,281.12 and 48,093.20

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Solution

The fourth proportional to 136,833.56, 205,281.12 and 48,093.20 is: 72,150.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,833.56 : 205,281.12 = 48,093.20 : x
  2. Step 2: Convert to fraction form
    136,833.56/205,281.12 = 48,093.20/x
  3. Step 3: Cross multiply
    136,833.56x = 205,281.12 × 48,093.20
  4. Step 4: Simplify right side
    136,833.56x = 9,872,625,960.38
  5. Step 5: Solve for x
    x = 9,872,625,960.38/136,833.56
  6. Step 6: Final answer
    x = 72,150.62

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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.