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Finding the Fourth Proportional to 191,100.40, 286,256.40 and 111,974.80

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Solution

The fourth proportional to 191,100.40, 286,256.40 and 111,974.80 is: 167,731.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,100.40 : 286,256.40 = 111,974.80 : x
  2. Step 2: Convert to fraction form
    191,100.40/286,256.40 = 111,974.80/x
  3. Step 3: Cross multiply
    191,100.40x = 286,256.40 × 111,974.80
  4. Step 4: Simplify right side
    191,100.40x = 32,053,503,138.72
  5. Step 5: Solve for x
    x = 32,053,503,138.72/191,100.40
  6. Step 6: Final answer
    x = 167,731.22

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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.