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Finding the Fourth Proportional to 242,602.20, 363,853.17 and 65,067

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Solution

The fourth proportional to 242,602.20, 363,853.17 and 65,067 is: 97,587.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,602.20 : 363,853.17 = 65,067 : x
  2. Step 2: Convert to fraction form
    242,602.20/363,853.17 = 65,067/x
  3. Step 3: Cross multiply
    242,602.20x = 363,853.17 × 65,067
  4. Step 4: Simplify right side
    242,602.20x = 23,674,834,212.39
  5. Step 5: Solve for x
    x = 23,674,834,212.39/242,602.20
  6. Step 6: Final answer
    x = 97,587.05

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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.