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Finding the Fourth Proportional to 283,378.50, 391,064.98 and 156,055

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Solution

The fourth proportional to 283,378.50, 391,064.98 and 156,055 is: 215,357.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,378.50 : 391,064.98 = 156,055 : x
  2. Step 2: Convert to fraction form
    283,378.50/391,064.98 = 156,055/x
  3. Step 3: Cross multiply
    283,378.50x = 391,064.98 × 156,055
  4. Step 4: Simplify right side
    283,378.50x = 61,027,645,453.90
  5. Step 5: Solve for x
    x = 61,027,645,453.90/283,378.50
  6. Step 6: Final answer
    x = 215,357.36

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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.