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Finding the Fourth Proportional to 265,438.11, 366,299.49 and 144,578.01

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Solution

The fourth proportional to 265,438.11, 366,299.49 and 144,578.01 is: 199,514.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,438.11 : 366,299.49 = 144,578.01 : x
  2. Step 2: Convert to fraction form
    265,438.11/366,299.49 = 144,578.01/x
  3. Step 3: Cross multiply
    265,438.11x = 366,299.49 × 144,578.01
  4. Step 4: Simplify right side
    265,438.11x = 52,958,851,328.21
  5. Step 5: Solve for x
    x = 52,958,851,328.21/265,438.11
  6. Step 6: Final answer
    x = 199,514.87

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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.