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Finding the Fourth Proportional to 132,415.80, 198,623.28 and 53,529.12

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Solution

The fourth proportional to 132,415.80, 198,623.28 and 53,529.12 is: 80,293.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,415.80 : 198,623.28 = 53,529.12 : x
  2. Step 2: Convert to fraction form
    132,415.80/198,623.28 = 53,529.12/x
  3. Step 3: Cross multiply
    132,415.80x = 198,623.28 × 53,529.12
  4. Step 4: Simplify right side
    132,415.80x = 10,632,129,389.91
  5. Step 5: Solve for x
    x = 10,632,129,389.91/132,415.80
  6. Step 6: Final answer
    x = 80,293.51

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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.