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Finding the Fourth Proportional to 154,992.54, 232,631.37 and 120,156.06

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Solution

The fourth proportional to 154,992.54, 232,631.37 and 120,156.06 is: 180,344.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,992.54 : 232,631.37 = 120,156.06 : x
  2. Step 2: Convert to fraction form
    154,992.54/232,631.37 = 120,156.06/x
  3. Step 3: Cross multiply
    154,992.54x = 232,631.37 × 120,156.06
  4. Step 4: Simplify right side
    154,992.54x = 27,952,068,851.60
  5. Step 5: Solve for x
    x = 27,952,068,851.60/154,992.54
  6. Step 6: Final answer
    x = 180,344.61

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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.