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Finding the Fourth Proportional to 191,195.40, 286,793.10 and 172,824.60

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Solution

The fourth proportional to 191,195.40, 286,793.10 and 172,824.60 is: 259,236.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,195.40 : 286,793.10 = 172,824.60 : x
  2. Step 2: Convert to fraction form
    191,195.40/286,793.10 = 172,824.60/x
  3. Step 3: Cross multiply
    191,195.40x = 286,793.10 × 172,824.60
  4. Step 4: Simplify right side
    191,195.40x = 49,564,902,790.26
  5. Step 5: Solve for x
    x = 49,564,902,790.26/191,195.40
  6. Step 6: Final answer
    x = 259,236.90

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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.