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Finding the Fourth Proportional to 374,523.90, 561,523.38 and 137,835.78

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Solution

The fourth proportional to 374,523.90, 561,523.38 and 137,835.78 is: 206,657.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,523.90 : 561,523.38 = 137,835.78 : x
  2. Step 2: Convert to fraction form
    374,523.90/561,523.38 = 137,835.78/x
  3. Step 3: Cross multiply
    374,523.90x = 561,523.38 × 137,835.78
  4. Step 4: Simplify right side
    374,523.90x = 77,398,013,070.54
  5. Step 5: Solve for x
    x = 77,398,013,070.54/374,523.90
  6. Step 6: Final answer
    x = 206,657.07

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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.