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Finding the Fourth Proportional to 172,774.32, 258,825.22 and 97,667.27

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Solution

The fourth proportional to 172,774.32, 258,825.22 and 97,667.27 is: 146,310.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,774.32 : 258,825.22 = 97,667.27 : x
  2. Step 2: Convert to fraction form
    172,774.32/258,825.22 = 97,667.27/x
  3. Step 3: Cross multiply
    172,774.32x = 258,825.22 × 97,667.27
  4. Step 4: Simplify right side
    172,774.32x = 25,278,752,626.23
  5. Step 5: Solve for x
    x = 25,278,752,626.23/172,774.32
  6. Step 6: Final answer
    x = 146,310.82

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1.5x scale

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.