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Finding the Fourth Proportional to 164,089.50, 226,443.63 and 88,638

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Solution

The fourth proportional to 164,089.50, 226,443.63 and 88,638 is: 122,320.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,089.50 : 226,443.63 = 88,638 : x
  2. Step 2: Convert to fraction form
    164,089.50/226,443.63 = 88,638/x
  3. Step 3: Cross multiply
    164,089.50x = 226,443.63 × 88,638
  4. Step 4: Simplify right side
    164,089.50x = 20,071,510,475.94
  5. Step 5: Solve for x
    x = 20,071,510,475.94/164,089.50
  6. Step 6: Final answer
    x = 122,320.50

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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.