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Finding the Fourth Proportional to 282,002.49, 422,905.19 and 113,479.09

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Solution

The fourth proportional to 282,002.49, 422,905.19 and 113,479.09 is: 170,178.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,002.49 : 422,905.19 = 113,479.09 : x
  2. Step 2: Convert to fraction form
    282,002.49/422,905.19 = 113,479.09/x
  3. Step 3: Cross multiply
    282,002.49x = 422,905.19 × 113,479.09
  4. Step 4: Simplify right side
    282,002.49x = 47,990,894,492.82
  5. Step 5: Solve for x
    x = 47,990,894,492.82/282,002.49
  6. Step 6: Final answer
    x = 170,178.97

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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.