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Finding the Fourth Proportional to 135,027.40, 201,957.90 and 114,032.20

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Solution

The fourth proportional to 135,027.40, 201,957.90 and 114,032.20 is: 170,555.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,027.40 : 201,957.90 = 114,032.20 : x
  2. Step 2: Convert to fraction form
    135,027.40/201,957.90 = 114,032.20/x
  3. Step 3: Cross multiply
    135,027.40x = 201,957.90 × 114,032.20
  4. Step 4: Simplify right side
    135,027.40x = 23,029,703,644.38
  5. Step 5: Solve for x
    x = 23,029,703,644.38/135,027.40
  6. Step 6: Final answer
    x = 170,555.78

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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.