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Finding the Fourth Proportional to 204,030.96, 305,787.12 and 115,334.16

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Solution

The fourth proportional to 204,030.96, 305,787.12 and 115,334.16 is: 172,854.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,030.96 : 305,787.12 = 115,334.16 : x
  2. Step 2: Convert to fraction form
    204,030.96/305,787.12 = 115,334.16/x
  3. Step 3: Cross multiply
    204,030.96x = 305,787.12 × 115,334.16
  4. Step 4: Simplify right side
    204,030.96x = 35,267,700,624.02
  5. Step 5: Solve for x
    x = 35,267,700,624.02/204,030.96
  6. Step 6: Final answer
    x = 172,854.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.