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Finding the Fourth Proportional to 233,470.76, 350,255.34 and 75,686.91

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Solution

The fourth proportional to 233,470.76, 350,255.34 and 75,686.91 is: 113,546.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,470.76 : 350,255.34 = 75,686.91 : x
  2. Step 2: Convert to fraction form
    233,470.76/350,255.34 = 75,686.91/x
  3. Step 3: Cross multiply
    233,470.76x = 350,255.34 × 75,686.91
  4. Step 4: Simplify right side
    233,470.76x = 26,509,743,082.14
  5. Step 5: Solve for x
    x = 26,509,743,082.14/233,470.76
  6. Step 6: Final answer
    x = 113,546.31

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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.