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Finding the Fourth Proportional to 172,768.32, 258,567.30 and 106,250.64

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Solution

The fourth proportional to 172,768.32, 258,567.30 and 106,250.64 is: 159,016.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,768.32 : 258,567.30 = 106,250.64 : x
  2. Step 2: Convert to fraction form
    172,768.32/258,567.30 = 106,250.64/x
  3. Step 3: Cross multiply
    172,768.32x = 258,567.30 × 106,250.64
  4. Step 4: Simplify right side
    172,768.32x = 27,472,941,108.07
  5. Step 5: Solve for x
    x = 27,472,941,108.07/172,768.32
  6. Step 6: Final answer
    x = 159,016.08

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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.