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Finding the Fourth Proportional to 122,142.20, 183,421.41 and 79,520.23

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Solution

The fourth proportional to 122,142.20, 183,421.41 and 79,520.23 is: 119,415.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,142.20 : 183,421.41 = 79,520.23 : x
  2. Step 2: Convert to fraction form
    122,142.20/183,421.41 = 79,520.23/x
  3. Step 3: Cross multiply
    122,142.20x = 183,421.41 × 79,520.23
  4. Step 4: Simplify right side
    122,142.20x = 14,585,713,088.50
  5. Step 5: Solve for x
    x = 14,585,713,088.50/122,142.20
  6. Step 6: Final answer
    x = 119,415.83

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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.