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Finding the Fourth Proportional to 154,992, 232,490.16 and 44,184

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Solution

The fourth proportional to 154,992, 232,490.16 and 44,184 is: 66,276.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,992 : 232,490.16 = 44,184 : x
  2. Step 2: Convert to fraction form
    154,992/232,490.16 = 44,184/x
  3. Step 3: Cross multiply
    154,992x = 232,490.16 × 44,184
  4. Step 4: Simplify right side
    154,992x = 10,272,345,229.44
  5. Step 5: Solve for x
    x = 10,272,345,229.44/154,992
  6. Step 6: Final answer
    x = 66,276.62

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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.