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Finding the Fourth Proportional to 286,198.84, 429,123.22 and 136,484.92

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Solution

The fourth proportional to 286,198.84, 429,123.22 and 136,484.92 is: 204,643.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,198.84 : 429,123.22 = 136,484.92 : x
  2. Step 2: Convert to fraction form
    286,198.84/429,123.22 = 136,484.92/x
  3. Step 3: Cross multiply
    286,198.84x = 429,123.22 × 136,484.92
  4. Step 4: Simplify right side
    286,198.84x = 58,568,848,351.84
  5. Step 5: Solve for x
    x = 58,568,848,351.84/286,198.84
  6. Step 6: Final answer
    x = 204,643.91

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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.