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Finding the Fourth Proportional to 241,473, 362,229.48 and 75,261

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Solution

The fourth proportional to 241,473, 362,229.48 and 75,261 is: 112,897.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    241,473 : 362,229.48 = 75,261 : x
  2. Step 2: Convert to fraction form
    241,473/362,229.48 = 75,261/x
  3. Step 3: Cross multiply
    241,473x = 362,229.48 × 75,261
  4. Step 4: Simplify right side
    241,473x = 27,261,752,894.28
  5. Step 5: Solve for x
    x = 27,261,752,894.28/241,473
  6. Step 6: Final answer
    x = 112,897.73

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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.