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Finding the Fourth Proportional to 293,251, 404,688.54 and 159,115

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Solution

The fourth proportional to 293,251, 404,688.54 and 159,115 is: 219,579.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    293,251 : 404,688.54 = 159,115 : x
  2. Step 2: Convert to fraction form
    293,251/404,688.54 = 159,115/x
  3. Step 3: Cross multiply
    293,251x = 404,688.54 × 159,115
  4. Step 4: Simplify right side
    293,251x = 64,392,017,042.10
  5. Step 5: Solve for x
    x = 64,392,017,042.10/293,251
  6. Step 6: Final answer
    x = 219,579.87

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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.