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Finding the Fourth Proportional to 233,390.31, 350,147.76 and 83,645.74

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Solution

The fourth proportional to 233,390.31, 350,147.76 and 83,645.74 is: 125,490.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,390.31 : 350,147.76 = 83,645.74 : x
  2. Step 2: Convert to fraction form
    233,390.31/350,147.76 = 83,645.74/x
  3. Step 3: Cross multiply
    233,390.31x = 350,147.76 × 83,645.74
  4. Step 4: Simplify right side
    233,390.31x = 29,288,368,494.54
  5. Step 5: Solve for x
    x = 29,288,368,494.54/233,390.31
  6. Step 6: Final answer
    x = 125,490.94

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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.