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Finding the Fourth Proportional to 374,169.63, 561,254.46 and 137,409.87

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Solution

The fourth proportional to 374,169.63, 561,254.46 and 137,409.87 is: 206,114.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,169.63 : 561,254.46 = 137,409.87 : x
  2. Step 2: Convert to fraction form
    374,169.63/561,254.46 = 137,409.87/x
  3. Step 3: Cross multiply
    374,169.63x = 561,254.46 × 137,409.87
  4. Step 4: Simplify right side
    374,169.63x = 77,121,902,385.52
  5. Step 5: Solve for x
    x = 77,121,902,385.52/374,169.63
  6. Step 6: Final answer
    x = 206,114.81

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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.