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Finding the Fourth Proportional to 154,200.20, 230,954.70 and 91,992.20

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Solution

The fourth proportional to 154,200.20, 230,954.70 and 91,992.20 is: 137,782.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,200.20 : 230,954.70 = 91,992.20 : x
  2. Step 2: Convert to fraction form
    154,200.20/230,954.70 = 91,992.20/x
  3. Step 3: Cross multiply
    154,200.20x = 230,954.70 × 91,992.20
  4. Step 4: Simplify right side
    154,200.20x = 21,246,030,953.34
  5. Step 5: Solve for x
    x = 21,246,030,953.34/154,200.20
  6. Step 6: Final answer
    x = 137,782.12

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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.