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Finding the Fourth Proportional to 131,582.40, 197,114.40 and 122,251.20

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Solution

The fourth proportional to 131,582.40, 197,114.40 and 122,251.20 is: 183,135.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,582.40 : 197,114.40 = 122,251.20 : x
  2. Step 2: Convert to fraction form
    131,582.40/197,114.40 = 122,251.20/x
  3. Step 3: Cross multiply
    131,582.40x = 197,114.40 × 122,251.20
  4. Step 4: Simplify right side
    131,582.40x = 24,097,471,937.28
  5. Step 5: Solve for x
    x = 24,097,471,937.28/131,582.40
  6. Step 6: Final answer
    x = 183,135.98

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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.