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Finding the Fourth Proportional to 374,168.61, 561,474.34 and 137,677.36

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Solution

The fourth proportional to 374,168.61, 561,474.34 and 137,677.36 is: 206,597.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,168.61 : 561,474.34 = 137,677.36 : x
  2. Step 2: Convert to fraction form
    374,168.61/561,474.34 = 137,677.36/x
  3. Step 3: Cross multiply
    374,168.61x = 561,474.34 × 137,677.36
  4. Step 4: Simplify right side
    374,168.61x = 77,302,304,838.94
  5. Step 5: Solve for x
    x = 77,302,304,838.94/374,168.61
  6. Step 6: Final answer
    x = 206,597.51

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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.