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Finding the Fourth Proportional to 188,294.17, 259,844.95 and 102,252.40

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Solution

The fourth proportional to 188,294.17, 259,844.95 and 102,252.40 is: 141,107.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    188,294.17 : 259,844.95 = 102,252.40 : x
  2. Step 2: Convert to fraction form
    188,294.17/259,844.95 = 102,252.40/x
  3. Step 3: Cross multiply
    188,294.17x = 259,844.95 × 102,252.40
  4. Step 4: Simplify right side
    188,294.17x = 26,569,769,765.38
  5. Step 5: Solve for x
    x = 26,569,769,765.38/188,294.17
  6. Step 6: Final answer
    x = 141,107.77

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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.