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Finding the Fourth Proportional to 233,451.76, 350,287 and 115,058.56

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Solution

The fourth proportional to 233,451.76, 350,287 and 115,058.56 is: 172,641.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,451.76 : 350,287 = 115,058.56 : x
  2. Step 2: Convert to fraction form
    233,451.76/350,287 = 115,058.56/x
  3. Step 3: Cross multiply
    233,451.76x = 350,287 × 115,058.56
  4. Step 4: Simplify right side
    233,451.76x = 40,303,517,806.72
  5. Step 5: Solve for x
    x = 40,303,517,806.72/233,451.76
  6. Step 6: Final answer
    x = 172,641.74

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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.