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Finding the Fourth Proportional to 263,763.96, 363,972.71 and 154,856.82

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Solution

The fourth proportional to 263,763.96, 363,972.71 and 154,856.82 is: 213,689.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,763.96 : 363,972.71 = 154,856.82 : x
  2. Step 2: Convert to fraction form
    263,763.96/363,972.71 = 154,856.82/x
  3. Step 3: Cross multiply
    263,763.96x = 363,972.71 × 154,856.82
  4. Step 4: Simplify right side
    263,763.96x = 56,363,656,437.38
  5. Step 5: Solve for x
    x = 56,363,656,437.38/263,763.96
  6. Step 6: Final answer
    x = 213,689.76

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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.