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Finding the Fourth Proportional to 306,042.90, 422,270.01 and 185,181.18

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Solution

The fourth proportional to 306,042.90, 422,270.01 and 185,181.18 is: 255,508.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,042.90 : 422,270.01 = 185,181.18 : x
  2. Step 2: Convert to fraction form
    306,042.90/422,270.01 = 185,181.18/x
  3. Step 3: Cross multiply
    306,042.90x = 422,270.01 × 185,181.18
  4. Step 4: Simplify right side
    306,042.90x = 78,196,458,730.41
  5. Step 5: Solve for x
    x = 78,196,458,730.41/306,042.90
  6. Step 6: Final answer
    x = 255,508.16

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.