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Finding the Fourth Proportional to 216,463.84, 298,718.22 and 120,968.08

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Solution

The fourth proportional to 216,463.84, 298,718.22 and 120,968.08 is: 166,934.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    216,463.84 : 298,718.22 = 120,968.08 : x
  2. Step 2: Convert to fraction form
    216,463.84/298,718.22 = 120,968.08/x
  3. Step 3: Cross multiply
    216,463.84x = 298,718.22 × 120,968.08
  4. Step 4: Simplify right side
    216,463.84x = 36,135,369,534.42
  5. Step 5: Solve for x
    x = 36,135,369,534.42/216,463.84
  6. Step 6: Final answer
    x = 166,934.90

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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.