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Finding the Fourth Proportional to 200,032.56, 276,073.92 and 115,148.88

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Solution

The fourth proportional to 200,032.56, 276,073.92 and 115,148.88 is: 158,922.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,032.56 : 276,073.92 = 115,148.88 : x
  2. Step 2: Convert to fraction form
    200,032.56/276,073.92 = 115,148.88/x
  3. Step 3: Cross multiply
    200,032.56x = 276,073.92 × 115,148.88
  4. Step 4: Simplify right side
    200,032.56x = 31,789,602,685.21
  5. Step 5: Solve for x
    x = 31,789,602,685.21/200,032.56
  6. Step 6: Final answer
    x = 158,922.14

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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.