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Finding the Fourth Proportional to 134,865.68, 202,422.80 and 68,353

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Solution

The fourth proportional to 134,865.68, 202,422.80 and 68,353 is: 102,592.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,865.68 : 202,422.80 = 68,353 : x
  2. Step 2: Convert to fraction form
    134,865.68/202,422.80 = 68,353/x
  3. Step 3: Cross multiply
    134,865.68x = 202,422.80 × 68,353
  4. Step 4: Simplify right side
    134,865.68x = 13,836,205,648.40
  5. Step 5: Solve for x
    x = 13,836,205,648.40/134,865.68
  6. Step 6: Final answer
    x = 102,592.49

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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.