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Finding the Fourth Proportional to 229,010.64, 343,349.88 and 153,944.58

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Solution

The fourth proportional to 229,010.64, 343,349.88 and 153,944.58 is: 230,805.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    229,010.64 : 343,349.88 = 153,944.58 : x
  2. Step 2: Convert to fraction form
    229,010.64/343,349.88 = 153,944.58/x
  3. Step 3: Cross multiply
    229,010.64x = 343,349.88 × 153,944.58
  4. Step 4: Simplify right side
    229,010.64x = 52,856,853,069.65
  5. Step 5: Solve for x
    x = 52,856,853,069.65/229,010.64
  6. Step 6: Final answer
    x = 230,805.23

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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.