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Finding the Fourth Proportional to 229,577.66, 343,793.77 and 145,082.92

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Solution

The fourth proportional to 229,577.66, 343,793.77 and 145,082.92 is: 217,262.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,577.66 : 343,793.77 = 145,082.92 : x
  2. Step 2: Convert to fraction form
    229,577.66/343,793.77 = 145,082.92/x
  3. Step 3: Cross multiply
    229,577.66x = 343,793.77 × 145,082.92
  4. Step 4: Simplify right side
    229,577.66x = 49,878,601,585.03
  5. Step 5: Solve for x
    x = 49,878,601,585.03/229,577.66
  6. Step 6: Final answer
    x = 217,262.44

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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.