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Finding the Fourth Proportional to 136,257.84, 204,419.58 and 42,763.56

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Solution

The fourth proportional to 136,257.84, 204,419.58 and 42,763.56 is: 64,155.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,257.84 : 204,419.58 = 42,763.56 : x
  2. Step 2: Convert to fraction form
    136,257.84/204,419.58 = 42,763.56/x
  3. Step 3: Cross multiply
    136,257.84x = 204,419.58 × 42,763.56
  4. Step 4: Simplify right side
    136,257.84x = 8,741,708,974.50
  5. Step 5: Solve for x
    x = 8,741,708,974.50/136,257.84
  6. Step 6: Final answer
    x = 64,155.64

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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.