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Finding the Fourth Proportional to 200,221.34, 276,301.76 and 109,575.48

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Solution

The fourth proportional to 200,221.34, 276,301.76 and 109,575.48 is: 151,212.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,221.34 : 276,301.76 = 109,575.48 : x
  2. Step 2: Convert to fraction form
    200,221.34/276,301.76 = 109,575.48/x
  3. Step 3: Cross multiply
    200,221.34x = 276,301.76 × 109,575.48
  4. Step 4: Simplify right side
    200,221.34x = 30,275,898,773.28
  5. Step 5: Solve for x
    x = 30,275,898,773.28/200,221.34
  6. Step 6: Final answer
    x = 151,212.14

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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.