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Finding the Fourth Proportional to 154,107.77, 212,641.61 and 86,103

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Solution

The fourth proportional to 154,107.77, 212,641.61 and 86,103 is: 118,806.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,107.77 : 212,641.61 = 86,103 : x
  2. Step 2: Convert to fraction form
    154,107.77/212,641.61 = 86,103/x
  3. Step 3: Cross multiply
    154,107.77x = 212,641.61 × 86,103
  4. Step 4: Simplify right side
    154,107.77x = 18,309,080,115.32
  5. Step 5: Solve for x
    x = 18,309,080,115.32/154,107.77
  6. Step 6: Final answer
    x = 118,806.99

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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.