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Finding the Fourth Proportional to 263,865.13, 364,135.16 and 143,006.38

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Solution

The fourth proportional to 263,865.13, 364,135.16 and 143,006.38 is: 197,349.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,865.13 : 364,135.16 = 143,006.38 : x
  2. Step 2: Convert to fraction form
    263,865.13/364,135.16 = 143,006.38/x
  3. Step 3: Cross multiply
    263,865.13x = 364,135.16 × 143,006.38
  4. Step 4: Simplify right side
    263,865.13x = 52,073,651,062.32
  5. Step 5: Solve for x
    x = 52,073,651,062.32/263,865.13
  6. Step 6: Final answer
    x = 197,349.50

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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.