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Finding the Fourth Proportional to 229,008.36, 343,346.46 and 153,942.32

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Solution

The fourth proportional to 229,008.36, 343,346.46 and 153,942.32 is: 230,801.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,008.36 : 343,346.46 = 153,942.32 : x
  2. Step 2: Convert to fraction form
    229,008.36/343,346.46 = 153,942.32/x
  3. Step 3: Cross multiply
    229,008.36x = 343,346.46 × 153,942.32
  4. Step 4: Simplify right side
    229,008.36x = 52,855,548,129.74
  5. Step 5: Solve for x
    x = 52,855,548,129.74/229,008.36
  6. Step 6: Final answer
    x = 230,801.83

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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.