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Finding the Fourth Proportional to 283,438.62, 391,140.63 and 156,126.06

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Solution

The fourth proportional to 283,438.62, 391,140.63 and 156,126.06 is: 215,451.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,438.62 : 391,140.63 = 156,126.06 : x
  2. Step 2: Convert to fraction form
    283,438.62/391,140.63 = 156,126.06/x
  3. Step 3: Cross multiply
    283,438.62x = 391,140.63 × 156,126.06
  4. Step 4: Simplify right side
    283,438.62x = 61,067,245,467.82
  5. Step 5: Solve for x
    x = 61,067,245,467.82/283,438.62
  6. Step 6: Final answer
    x = 215,451.39

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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.