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Finding the Fourth Proportional to 233,680.68, 350,371.31 and 98,708.09

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Solution

The fourth proportional to 233,680.68, 350,371.31 and 98,708.09 is: 147,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,680.68 : 350,371.31 = 98,708.09 : x
  2. Step 2: Convert to fraction form
    233,680.68/350,371.31 = 98,708.09/x
  3. Step 3: Cross multiply
    233,680.68x = 350,371.31 × 98,708.09
  4. Step 4: Simplify right side
    233,680.68x = 34,584,480,555.50
  5. Step 5: Solve for x
    x = 34,584,480,555.50/233,680.68
  6. Step 6: Final answer
    x = 147,998.89

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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.