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Finding the Fourth Proportional to 158,845.16, 219,210.14 and 86,251.14

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Solution

The fourth proportional to 158,845.16, 219,210.14 and 86,251.14 is: 119,028.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,845.16 : 219,210.14 = 86,251.14 : x
  2. Step 2: Convert to fraction form
    158,845.16/219,210.14 = 86,251.14/x
  3. Step 3: Cross multiply
    158,845.16x = 219,210.14 × 86,251.14
  4. Step 4: Simplify right side
    158,845.16x = 18,907,124,474.56
  5. Step 5: Solve for x
    x = 18,907,124,474.56/158,845.16
  6. Step 6: Final answer
    x = 119,028.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.