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Finding the Fourth Proportional to 177,913.40, 267,015.90 and 172,081.40

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Solution

The fourth proportional to 177,913.40, 267,015.90 and 172,081.40 is: 258,263.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,913.40 : 267,015.90 = 172,081.40 : x
  2. Step 2: Convert to fraction form
    177,913.40/267,015.90 = 172,081.40/x
  3. Step 3: Cross multiply
    177,913.40x = 267,015.90 × 172,081.40
  4. Step 4: Simplify right side
    177,913.40x = 45,948,469,894.26
  5. Step 5: Solve for x
    x = 45,948,469,894.26/177,913.40
  6. Step 6: Final answer
    x = 258,263.12

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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.