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Finding the Fourth Proportional to 199,898.48, 299,760.24 and 75,152

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Solution

The fourth proportional to 199,898.48, 299,760.24 and 75,152 is: 112,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,898.48 : 299,760.24 = 75,152 : x
  2. Step 2: Convert to fraction form
    199,898.48/299,760.24 = 75,152/x
  3. Step 3: Cross multiply
    199,898.48x = 299,760.24 × 75,152
  4. Step 4: Simplify right side
    199,898.48x = 22,527,581,556.48
  5. Step 5: Solve for x
    x = 22,527,581,556.48/199,898.48
  6. Step 6: Final answer
    x = 112,695.11

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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.