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Finding the Fourth Proportional to 147,201.16, 220,834.50 and 53,706.88

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Solution

The fourth proportional to 147,201.16, 220,834.50 and 53,706.88 is: 80,572.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,201.16 : 220,834.50 = 53,706.88 : x
  2. Step 2: Convert to fraction form
    147,201.16/220,834.50 = 53,706.88/x
  3. Step 3: Cross multiply
    147,201.16x = 220,834.50 × 53,706.88
  4. Step 4: Simplify right side
    147,201.16x = 11,860,331,991.36
  5. Step 5: Solve for x
    x = 11,860,331,991.36/147,201.16
  6. Step 6: Final answer
    x = 80,572.27

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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.