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Finding the Fourth Proportional to 194,751.87, 292,141.13 and 114,906.53

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Solution

The fourth proportional to 194,751.87, 292,141.13 and 114,906.53 is: 172,367.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,751.87 : 292,141.13 = 114,906.53 : x
  2. Step 2: Convert to fraction form
    194,751.87/292,141.13 = 114,906.53/x
  3. Step 3: Cross multiply
    194,751.87x = 292,141.13 × 114,906.53
  4. Step 4: Simplify right side
    194,751.87x = 33,568,921,483.34
  5. Step 5: Solve for x
    x = 33,568,921,483.34/194,751.87
  6. Step 6: Final answer
    x = 172,367.65

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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.