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Finding the Fourth Proportional to 109,150.79, 163,719.49 and 64,197

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Solution

The fourth proportional to 109,150.79, 163,719.49 and 64,197 is: 96,291.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,150.79 : 163,719.49 = 64,197 : x
  2. Step 2: Convert to fraction form
    109,150.79/163,719.49 = 64,197/x
  3. Step 3: Cross multiply
    109,150.79x = 163,719.49 × 64,197
  4. Step 4: Simplify right side
    109,150.79x = 10,510,300,099.53
  5. Step 5: Solve for x
    x = 10,510,300,099.53/109,150.79
  6. Step 6: Final answer
    x = 96,291.56

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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.