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Finding the Fourth Proportional to 217,154.24, 299,665.60 and 120,354

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Solution

The fourth proportional to 217,154.24, 299,665.60 and 120,354 is: 166,084.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    217,154.24 : 299,665.60 = 120,354 : x
  2. Step 2: Convert to fraction form
    217,154.24/299,665.60 = 120,354/x
  3. Step 3: Cross multiply
    217,154.24x = 299,665.60 × 120,354
  4. Step 4: Simplify right side
    217,154.24x = 36,065,953,622.40
  5. Step 5: Solve for x
    x = 36,065,953,622.40/217,154.24
  6. Step 6: Final answer
    x = 166,084.50

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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.