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Finding the Fourth Proportional to 265,261.69, 397,916.22 and 75,718.50

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Solution

The fourth proportional to 265,261.69, 397,916.22 and 75,718.50 is: 113,584.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,261.69 : 397,916.22 = 75,718.50 : x
  2. Step 2: Convert to fraction form
    265,261.69/397,916.22 = 75,718.50/x
  3. Step 3: Cross multiply
    265,261.69x = 397,916.22 × 75,718.50
  4. Step 4: Simplify right side
    265,261.69x = 30,129,617,882.87
  5. Step 5: Solve for x
    x = 30,129,617,882.87/265,261.69
  6. Step 6: Final answer
    x = 113,584.51

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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.