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Finding the Fourth Proportional to 261,648.38, 361,044.96 and 146,911.67

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Solution

The fourth proportional to 261,648.38, 361,044.96 and 146,911.67 is: 202,721.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,648.38 : 361,044.96 = 146,911.67 : x
  2. Step 2: Convert to fraction form
    261,648.38/361,044.96 = 146,911.67/x
  3. Step 3: Cross multiply
    261,648.38x = 361,044.96 × 146,911.67
  4. Step 4: Simplify right side
    261,648.38x = 53,041,718,018.68
  5. Step 5: Solve for x
    x = 53,041,718,018.68/261,648.38
  6. Step 6: Final answer
    x = 202,721.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.