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Finding the Fourth Proportional to 283,577.68, 425,408.80 and 101,194.28

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Solution

The fourth proportional to 283,577.68, 425,408.80 and 101,194.28 is: 151,806.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,577.68 : 425,408.80 = 101,194.28 : x
  2. Step 2: Convert to fraction form
    283,577.68/425,408.80 = 101,194.28/x
  3. Step 3: Cross multiply
    283,577.68x = 425,408.80 × 101,194.28
  4. Step 4: Simplify right side
    283,577.68x = 43,048,937,221.66
  5. Step 5: Solve for x
    x = 43,048,937,221.66/283,577.68
  6. Step 6: Final answer
    x = 151,806.51

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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.