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Finding the Fourth Proportional to 374,199.26, 561,520.32 and 137,708.01

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Solution

The fourth proportional to 374,199.26, 561,520.32 and 137,708.01 is: 206,643.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,199.26 : 561,520.32 = 137,708.01 : x
  2. Step 2: Convert to fraction form
    374,199.26/561,520.32 = 137,708.01/x
  3. Step 3: Cross multiply
    374,199.26x = 561,520.32 × 137,708.01
  4. Step 4: Simplify right side
    374,199.26x = 77,325,845,841.76
  5. Step 5: Solve for x
    x = 77,325,845,841.76/374,199.26
  6. Step 6: Final answer
    x = 206,643.51

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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.