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Finding the Fourth Proportional to 223,236.56, 307,943.74 and 141,414.96

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Solution

The fourth proportional to 223,236.56, 307,943.74 and 141,414.96 is: 195,074.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,236.56 : 307,943.74 = 141,414.96 : x
  2. Step 2: Convert to fraction form
    223,236.56/307,943.74 = 141,414.96/x
  3. Step 3: Cross multiply
    223,236.56x = 307,943.74 × 141,414.96
  4. Step 4: Simplify right side
    223,236.56x = 43,547,853,005.91
  5. Step 5: Solve for x
    x = 43,547,853,005.91/223,236.56
  6. Step 6: Final answer
    x = 195,074.92

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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.