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Finding the Fourth Proportional to 216,376.14, 324,560.70 and 83,285.32

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Solution

The fourth proportional to 216,376.14, 324,560.70 and 83,285.32 is: 124,926.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,376.14 : 324,560.70 = 83,285.32 : x
  2. Step 2: Convert to fraction form
    216,376.14/324,560.70 = 83,285.32/x
  3. Step 3: Cross multiply
    216,376.14x = 324,560.70 × 83,285.32
  4. Step 4: Simplify right side
    216,376.14x = 27,031,141,758.92
  5. Step 5: Solve for x
    x = 27,031,141,758.92/216,376.14
  6. Step 6: Final answer
    x = 124,926.63

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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.