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Finding the Fourth Proportional to 233,706, 322,507.44 and 131,737.44

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Solution

The fourth proportional to 233,706, 322,507.44 and 131,737.44 is: 181,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,706 : 322,507.44 = 131,737.44 : x
  2. Step 2: Convert to fraction form
    233,706/322,507.44 = 131,737.44/x
  3. Step 3: Cross multiply
    233,706x = 322,507.44 × 131,737.44
  4. Step 4: Simplify right side
    233,706x = 42,486,304,526.55
  5. Step 5: Solve for x
    x = 42,486,304,526.55/233,706
  6. Step 6: Final answer
    x = 181,793.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.