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Finding the Fourth Proportional to 134,443.20, 201,664.80 and 75,460.80

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Solution

The fourth proportional to 134,443.20, 201,664.80 and 75,460.80 is: 113,191.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,443.20 : 201,664.80 = 75,460.80 : x
  2. Step 2: Convert to fraction form
    134,443.20/201,664.80 = 75,460.80/x
  3. Step 3: Cross multiply
    134,443.20x = 201,664.80 × 75,460.80
  4. Step 4: Simplify right side
    134,443.20x = 15,217,787,139.84
  5. Step 5: Solve for x
    x = 15,217,787,139.84/134,443.20
  6. Step 6: Final answer
    x = 113,191.20

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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.