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Finding the Fourth Proportional to 134,442.81, 201,664.22 and 50,209.56

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Solution

The fourth proportional to 134,442.81, 201,664.22 and 50,209.56 is: 75,314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,442.81 : 201,664.22 = 50,209.56 : x
  2. Step 2: Convert to fraction form
    134,442.81/201,664.22 = 50,209.56/x
  3. Step 3: Cross multiply
    134,442.81x = 201,664.22 × 50,209.56
  4. Step 4: Simplify right side
    134,442.81x = 10,125,471,502.90
  5. Step 5: Solve for x
    x = 10,125,471,502.90/134,442.81
  6. Step 6: Final answer
    x = 75,314.34

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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.