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Finding the Fourth Proportional to 286,077.20, 429,310.20 and 159,717.20

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Solution

The fourth proportional to 286,077.20, 429,310.20 and 159,717.20 is: 239,684.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,077.20 : 429,310.20 = 159,717.20 : x
  2. Step 2: Convert to fraction form
    286,077.20/429,310.20 = 159,717.20/x
  3. Step 3: Cross multiply
    286,077.20x = 429,310.20 × 159,717.20
  4. Step 4: Simplify right side
    286,077.20x = 68,568,223,075.44
  5. Step 5: Solve for x
    x = 68,568,223,075.44/286,077.20
  6. Step 6: Final answer
    x = 239,684.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.