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Finding the Fourth Proportional to 136,463.40, 204,695.10 and 101,471.40

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Solution

The fourth proportional to 136,463.40, 204,695.10 and 101,471.40 is: 152,207.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    136,463.40 : 204,695.10 = 101,471.40 : x
  2. Step 2: Convert to fraction form
    136,463.40/204,695.10 = 101,471.40/x
  3. Step 3: Cross multiply
    136,463.40x = 204,695.10 × 101,471.40
  4. Step 4: Simplify right side
    136,463.40x = 20,770,698,370.14
  5. Step 5: Solve for x
    x = 20,770,698,370.14/136,463.40
  6. Step 6: Final answer
    x = 152,207.10

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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.