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Finding the Fourth Proportional to 261,647.88, 361,044.27 and 146,911.17

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Solution

The fourth proportional to 261,647.88, 361,044.27 and 146,911.17 is: 202,720.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,647.88 : 361,044.27 = 146,911.17 : x
  2. Step 2: Convert to fraction form
    261,647.88/361,044.27 = 146,911.17/x
  3. Step 3: Cross multiply
    261,647.88x = 361,044.27 × 146,911.17
  4. Step 4: Simplify right side
    261,647.88x = 53,041,436,127.50
  5. Step 5: Solve for x
    x = 53,041,436,127.50/261,647.88
  6. Step 6: Final answer
    x = 202,720.68

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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.