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Finding the Fourth Proportional to 164,222.28, 226,509.15 and 106,754.40

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Solution

The fourth proportional to 164,222.28, 226,509.15 and 106,754.40 is: 147,244.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,222.28 : 226,509.15 = 106,754.40 : x
  2. Step 2: Convert to fraction form
    164,222.28/226,509.15 = 106,754.40/x
  3. Step 3: Cross multiply
    164,222.28x = 226,509.15 × 106,754.40
  4. Step 4: Simplify right side
    164,222.28x = 24,180,848,402.76
  5. Step 5: Solve for x
    x = 24,180,848,402.76/164,222.28
  6. Step 6: Final answer
    x = 147,244.63

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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.