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Finding the Fourth Proportional to 172,766.40, 259,185.96 and 97,922.40

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Solution

The fourth proportional to 172,766.40, 259,185.96 and 97,922.40 is: 146,904.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,766.40 : 259,185.96 = 97,922.40 : x
  2. Step 2: Convert to fraction form
    172,766.40/259,185.96 = 97,922.40/x
  3. Step 3: Cross multiply
    172,766.40x = 259,185.96 × 97,922.40
  4. Step 4: Simplify right side
    172,766.40x = 25,380,111,249.50
  5. Step 5: Solve for x
    x = 25,380,111,249.50/172,766.40
  6. Step 6: Final answer
    x = 146,904.21

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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.