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Finding the Fourth Proportional to 132,254.28, 198,381.36 and 33,758.28

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Solution

The fourth proportional to 132,254.28, 198,381.36 and 33,758.28 is: 50,637.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,254.28 : 198,381.36 = 33,758.28 : x
  2. Step 2: Convert to fraction form
    132,254.28/198,381.36 = 33,758.28/x
  3. Step 3: Cross multiply
    132,254.28x = 198,381.36 × 33,758.28
  4. Step 4: Simplify right side
    132,254.28x = 6,697,013,497.66
  5. Step 5: Solve for x
    x = 6,697,013,497.66/132,254.28
  6. Step 6: Final answer
    x = 50,637.40

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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.