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Finding the Fourth Proportional to 233,493.60, 350,133.84 and 83,676

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Solution

The fourth proportional to 233,493.60, 350,133.84 and 83,676 is: 125,475.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,493.60 : 350,133.84 = 83,676 : x
  2. Step 2: Convert to fraction form
    233,493.60/350,133.84 = 83,676/x
  3. Step 3: Cross multiply
    233,493.60x = 350,133.84 × 83,676
  4. Step 4: Simplify right side
    233,493.60x = 29,297,799,195.84
  5. Step 5: Solve for x
    x = 29,297,799,195.84/233,493.60
  6. Step 6: Final answer
    x = 125,475.81

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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.