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Finding the Fourth Proportional to 193,341.76, 289,959.84 and 53,067.04

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Solution

The fourth proportional to 193,341.76, 289,959.84 and 53,067.04 is: 79,586.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,341.76 : 289,959.84 = 53,067.04 : x
  2. Step 2: Convert to fraction form
    193,341.76/289,959.84 = 53,067.04/x
  3. Step 3: Cross multiply
    193,341.76x = 289,959.84 × 53,067.04
  4. Step 4: Simplify right side
    193,341.76x = 15,387,310,427.67
  5. Step 5: Solve for x
    x = 15,387,310,427.67/193,341.76
  6. Step 6: Final answer
    x = 79,586.07

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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.