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Finding the Fourth Proportional to 233,157.60, 349,727.90 and 75,381.75

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Solution

The fourth proportional to 233,157.60, 349,727.90 and 75,381.75 is: 113,069.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,157.60 : 349,727.90 = 75,381.75 : x
  2. Step 2: Convert to fraction form
    233,157.60/349,727.90 = 75,381.75/x
  3. Step 3: Cross multiply
    233,157.60x = 349,727.90 × 75,381.75
  4. Step 4: Simplify right side
    233,157.60x = 26,363,100,748.92
  5. Step 5: Solve for x
    x = 26,363,100,748.92/233,157.60
  6. Step 6: Final answer
    x = 113,069.88

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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.