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Finding the Fourth Proportional to 216,143.84, 324,211.62 and 97,732.46

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Solution

The fourth proportional to 216,143.84, 324,211.62 and 97,732.46 is: 146,596.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,143.84 : 324,211.62 = 97,732.46 : x
  2. Step 2: Convert to fraction form
    216,143.84/324,211.62 = 97,732.46/x
  3. Step 3: Cross multiply
    216,143.84x = 324,211.62 × 97,732.46
  4. Step 4: Simplify right side
    216,143.84x = 31,685,999,183.19
  5. Step 5: Solve for x
    x = 31,685,999,183.19/216,143.84
  6. Step 6: Final answer
    x = 146,596.82

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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.