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Finding the Fourth Proportional to 229,156.54, 343,986.15 and 182,074.18

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Solution

The fourth proportional to 229,156.54, 343,986.15 and 182,074.18 is: 273,310.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,156.54 : 343,986.15 = 182,074.18 : x
  2. Step 2: Convert to fraction form
    229,156.54/343,986.15 = 182,074.18/x
  3. Step 3: Cross multiply
    229,156.54x = 343,986.15 × 182,074.18
  4. Step 4: Simplify right side
    229,156.54x = 62,630,996,192.61
  5. Step 5: Solve for x
    x = 62,630,996,192.61/229,156.54
  6. Step 6: Final answer
    x = 273,310.97

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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.