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Finding the Fourth Proportional to 200,505.96, 276,693.75 and 113,282.91

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Solution

The fourth proportional to 200,505.96, 276,693.75 and 113,282.91 is: 156,327.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,505.96 : 276,693.75 = 113,282.91 : x
  2. Step 2: Convert to fraction form
    200,505.96/276,693.75 = 113,282.91/x
  3. Step 3: Cross multiply
    200,505.96x = 276,693.75 × 113,282.91
  4. Step 4: Simplify right side
    200,505.96x = 31,344,673,178.81
  5. Step 5: Solve for x
    x = 31,344,673,178.81/200,505.96
  6. Step 6: Final answer
    x = 156,327.89

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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.