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Finding the Fourth Proportional to 264,906.90, 397,223.55 and 77,894.10

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Solution

The fourth proportional to 264,906.90, 397,223.55 and 77,894.10 is: 116,800.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    264,906.90 : 397,223.55 = 77,894.10 : x
  2. Step 2: Convert to fraction form
    264,906.90/397,223.55 = 77,894.10/x
  3. Step 3: Cross multiply
    264,906.90x = 397,223.55 × 77,894.10
  4. Step 4: Simplify right side
    264,906.90x = 30,941,370,926.06
  5. Step 5: Solve for x
    x = 30,941,370,926.06/264,906.90
  6. Step 6: Final answer
    x = 116,800.92

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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.