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Finding the Fourth Proportional to 154,212.24, 212,813.28 and 86,231.68

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Solution

The fourth proportional to 154,212.24, 212,813.28 and 86,231.68 is: 118,999.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,212.24 : 212,813.28 = 86,231.68 : x
  2. Step 2: Convert to fraction form
    154,212.24/212,813.28 = 86,231.68/x
  3. Step 3: Cross multiply
    154,212.24x = 212,813.28 × 86,231.68
  4. Step 4: Simplify right side
    154,212.24x = 18,351,246,660.71
  5. Step 5: Solve for x
    x = 18,351,246,660.71/154,212.24
  6. Step 6: Final answer
    x = 118,999.94

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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.