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Finding the Fourth Proportional to 263,807.17, 363,913.50 and 160,472.96

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Solution

The fourth proportional to 263,807.17, 363,913.50 and 160,472.96 is: 221,367.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,807.17 : 363,913.50 = 160,472.96 : x
  2. Step 2: Convert to fraction form
    263,807.17/363,913.50 = 160,472.96/x
  3. Step 3: Cross multiply
    263,807.17x = 363,913.50 × 160,472.96
  4. Step 4: Simplify right side
    263,807.17x = 58,398,275,726.60
  5. Step 5: Solve for x
    x = 58,398,275,726.60/263,807.17
  6. Step 6: Final answer
    x = 221,367.28

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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.