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Finding the Fourth Proportional to 164,200.50, 226,596.96 and 88,749

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Solution

The fourth proportional to 164,200.50, 226,596.96 and 88,749 is: 122,473.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,200.50 : 226,596.96 = 88,749 : x
  2. Step 2: Convert to fraction form
    164,200.50/226,596.96 = 88,749/x
  3. Step 3: Cross multiply
    164,200.50x = 226,596.96 × 88,749
  4. Step 4: Simplify right side
    164,200.50x = 20,110,253,603.04
  5. Step 5: Solve for x
    x = 20,110,253,603.04/164,200.50
  6. Step 6: Final answer
    x = 122,473.77

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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.