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Finding the Fourth Proportional to 263,709.48, 363,919.50 and 156,332.28

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Solution

The fourth proportional to 263,709.48, 363,919.50 and 156,332.28 is: 215,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,709.48 : 363,919.50 = 156,332.28 : x
  2. Step 2: Convert to fraction form
    263,709.48/363,919.50 = 156,332.28/x
  3. Step 3: Cross multiply
    263,709.48x = 363,919.50 × 156,332.28
  4. Step 4: Simplify right side
    263,709.48x = 56,892,365,171.46
  5. Step 5: Solve for x
    x = 56,892,365,171.46/263,709.48
  6. Step 6: Final answer
    x = 215,738.79

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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.