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Finding the Fourth Proportional to 229,042.06, 343,280.32 and 166,078.32

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Solution

The fourth proportional to 229,042.06, 343,280.32 and 166,078.32 is: 248,912.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,042.06 : 343,280.32 = 166,078.32 : x
  2. Step 2: Convert to fraction form
    229,042.06/343,280.32 = 166,078.32/x
  3. Step 3: Cross multiply
    229,042.06x = 343,280.32 × 166,078.32
  4. Step 4: Simplify right side
    229,042.06x = 57,011,418,834.66
  5. Step 5: Solve for x
    x = 57,011,418,834.66/229,042.06
  6. Step 6: Final answer
    x = 248,912.44

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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.