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Finding the Fourth Proportional to 269,278.64, 371,602.86 and 146,770.88

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Solution

The fourth proportional to 269,278.64, 371,602.86 and 146,770.88 is: 202,542.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,278.64 : 371,602.86 = 146,770.88 : x
  2. Step 2: Convert to fraction form
    269,278.64/371,602.86 = 146,770.88/x
  3. Step 3: Cross multiply
    269,278.64x = 371,602.86 × 146,770.88
  4. Step 4: Simplify right side
    269,278.64x = 54,540,478,772.72
  5. Step 5: Solve for x
    x = 54,540,478,772.72/269,278.64
  6. Step 6: Final answer
    x = 202,542.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.