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Finding the Fourth Proportional to 286,067.24, 429,003.66 and 99,035

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Solution

The fourth proportional to 286,067.24, 429,003.66 and 99,035 is: 148,518.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,067.24 : 429,003.66 = 99,035 : x
  2. Step 2: Convert to fraction form
    286,067.24/429,003.66 = 99,035/x
  3. Step 3: Cross multiply
    286,067.24x = 429,003.66 × 99,035
  4. Step 4: Simplify right side
    286,067.24x = 42,486,377,468.10
  5. Step 5: Solve for x
    x = 42,486,377,468.10/286,067.24
  6. Step 6: Final answer
    x = 148,518.85

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