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Finding the Fourth Proportional to 374,272.29, 561,630.78 and 137,781.06

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Solution

The fourth proportional to 374,272.29, 561,630.78 and 137,781.06 is: 206,753.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,272.29 : 561,630.78 = 137,781.06 : x
  2. Step 2: Convert to fraction form
    374,272.29/561,630.78 = 137,781.06/x
  3. Step 3: Cross multiply
    374,272.29x = 561,630.78 × 137,781.06
  4. Step 4: Simplify right side
    374,272.29x = 77,382,084,197.03
  5. Step 5: Solve for x
    x = 77,382,084,197.03/374,272.29
  6. Step 6: Final answer
    x = 206,753.44

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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.