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Finding the Fourth Proportional to 138,661.28, 208,036.44 and 96,146

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Solution

The fourth proportional to 138,661.28, 208,036.44 and 96,146 is: 144,249.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,661.28 : 208,036.44 = 96,146 : x
  2. Step 2: Convert to fraction form
    138,661.28/208,036.44 = 96,146/x
  3. Step 3: Cross multiply
    138,661.28x = 208,036.44 × 96,146
  4. Step 4: Simplify right side
    138,661.28x = 20,001,871,560.24
  5. Step 5: Solve for x
    x = 20,001,871,560.24/138,661.28
  6. Step 6: Final answer
    x = 144,249.87

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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.