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Finding the Fourth Proportional to 261,747.93, 361,220.91 and 145,466.30

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Solution

The fourth proportional to 261,747.93, 361,220.91 and 145,466.30 is: 200,748.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,747.93 : 361,220.91 = 145,466.30 : x
  2. Step 2: Convert to fraction form
    261,747.93/361,220.91 = 145,466.30/x
  3. Step 3: Cross multiply
    261,747.93x = 361,220.91 × 145,466.30
  4. Step 4: Simplify right side
    261,747.93x = 52,545,467,454.23
  5. Step 5: Solve for x
    x = 52,545,467,454.23/261,747.93
  6. Step 6: Final answer
    x = 200,748.36

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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.