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Finding the Fourth Proportional to 172,298.88, 258,304.96 and 53,896.32

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Solution

The fourth proportional to 172,298.88, 258,304.96 and 53,896.32 is: 80,799.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,298.88 : 258,304.96 = 53,896.32 : x
  2. Step 2: Convert to fraction form
    172,298.88/258,304.96 = 53,896.32/x
  3. Step 3: Cross multiply
    172,298.88x = 258,304.96 × 53,896.32
  4. Step 4: Simplify right side
    172,298.88x = 13,921,686,781.75
  5. Step 5: Solve for x
    x = 13,921,686,781.75/172,298.88
  6. Step 6: Final answer
    x = 80,799.64

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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.