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Finding the Fourth Proportional to 216,521.84, 324,753.12 and 64,716.80

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Solution

The fourth proportional to 216,521.84, 324,753.12 and 64,716.80 is: 97,066.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,521.84 : 324,753.12 = 64,716.80 : x
  2. Step 2: Convert to fraction form
    216,521.84/324,753.12 = 64,716.80/x
  3. Step 3: Cross multiply
    216,521.84x = 324,753.12 × 64,716.80
  4. Step 4: Simplify right side
    216,521.84x = 21,016,982,716.42
  5. Step 5: Solve for x
    x = 21,016,982,716.42/216,521.84
  6. Step 6: Final answer
    x = 97,066.34

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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.