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Finding the Fourth Proportional to 208,522.24, 287,926.32 and 192,600.88

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Solution

The fourth proportional to 208,522.24, 287,926.32 and 192,600.88 is: 265,942.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,522.24 : 287,926.32 = 192,600.88 : x
  2. Step 2: Convert to fraction form
    208,522.24/287,926.32 = 192,600.88/x
  3. Step 3: Cross multiply
    208,522.24x = 287,926.32 × 192,600.88
  4. Step 4: Simplify right side
    208,522.24x = 55,454,862,607.16
  5. Step 5: Solve for x
    x = 55,454,862,607.16/208,522.24
  6. Step 6: Final answer
    x = 265,942.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.