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Finding the Fourth Proportional to 199,593.32, 299,472.18 and 146,556.14

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Solution

The fourth proportional to 199,593.32, 299,472.18 and 146,556.14 is: 219,894.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,593.32 : 299,472.18 = 146,556.14 : x
  2. Step 2: Convert to fraction form
    199,593.32/299,472.18 = 146,556.14/x
  3. Step 3: Cross multiply
    199,593.32x = 299,472.18 × 146,556.14
  4. Step 4: Simplify right side
    199,593.32x = 43,889,486,738.19
  5. Step 5: Solve for x
    x = 43,889,486,738.19/199,593.32
  6. Step 6: Final answer
    x = 219,894.57

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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.