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Finding the Fourth Proportional to 210,787.86, 290,885.13 and 115,296.42

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Solution

The fourth proportional to 210,787.86, 290,885.13 and 115,296.42 is: 159,107.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,787.86 : 290,885.13 = 115,296.42 : x
  2. Step 2: Convert to fraction form
    210,787.86/290,885.13 = 115,296.42/x
  3. Step 3: Cross multiply
    210,787.86x = 290,885.13 × 115,296.42
  4. Step 4: Simplify right side
    210,787.86x = 33,538,014,120.23
  5. Step 5: Solve for x
    x = 33,538,014,120.23/210,787.86
  6. Step 6: Final answer
    x = 159,107.90

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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.