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Finding the Fourth Proportional to 193,722.48, 291,021.15 and 114,888.42

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Solution

The fourth proportional to 193,722.48, 291,021.15 and 114,888.42 is: 172,592.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,722.48 : 291,021.15 = 114,888.42 : x
  2. Step 2: Convert to fraction form
    193,722.48/291,021.15 = 114,888.42/x
  3. Step 3: Cross multiply
    193,722.48x = 291,021.15 × 114,888.42
  4. Step 4: Simplify right side
    193,722.48x = 33,434,960,110.08
  5. Step 5: Solve for x
    x = 33,434,960,110.08/193,722.48
  6. Step 6: Final answer
    x = 172,592.05

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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.