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Finding the Fourth Proportional to 264,882.68, 397,324.01 and 77,894.18

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Solution

The fourth proportional to 264,882.68, 397,324.01 and 77,894.18 is: 116,841.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,882.68 : 397,324.01 = 77,894.18 : x
  2. Step 2: Convert to fraction form
    264,882.68/397,324.01 = 77,894.18/x
  3. Step 3: Cross multiply
    264,882.68x = 397,324.01 × 77,894.18
  4. Step 4: Simplify right side
    264,882.68x = 30,949,225,577.17
  5. Step 5: Solve for x
    x = 30,949,225,577.17/264,882.68
  6. Step 6: Final answer
    x = 116,841.26

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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.