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Finding the Fourth Proportional to 229,146.86, 343,694.82 and 71,362.10

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Solution

The fourth proportional to 229,146.86, 343,694.82 and 71,362.10 is: 107,035.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,146.86 : 343,694.82 = 71,362.10 : x
  2. Step 2: Convert to fraction form
    229,146.86/343,694.82 = 71,362.10/x
  3. Step 3: Cross multiply
    229,146.86x = 343,694.82 × 71,362.10
  4. Step 4: Simplify right side
    229,146.86x = 24,526,784,114.32
  5. Step 5: Solve for x
    x = 24,526,784,114.32/229,146.86
  6. Step 6: Final answer
    x = 107,035.22

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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.