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Finding the Fourth Proportional to 164,847.97, 247,269.24 and 52,526.67

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Solution

The fourth proportional to 164,847.97, 247,269.24 and 52,526.67 is: 78,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,847.97 : 247,269.24 = 52,526.67 : x
  2. Step 2: Convert to fraction form
    164,847.97/247,269.24 = 52,526.67/x
  3. Step 3: Cross multiply
    164,847.97x = 247,269.24 × 52,526.67
  4. Step 4: Simplify right side
    164,847.97x = 12,988,230,282.00
  5. Step 5: Solve for x
    x = 12,988,230,282.00/164,847.97
  6. Step 6: Final answer
    x = 78,789.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.