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Finding the Fourth Proportional to 233,662.32, 322,242.30 and 153,060.44

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Solution

The fourth proportional to 233,662.32, 322,242.30 and 153,060.44 is: 211,084.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,662.32 : 322,242.30 = 153,060.44 : x
  2. Step 2: Convert to fraction form
    233,662.32/322,242.30 = 153,060.44/x
  3. Step 3: Cross multiply
    233,662.32x = 322,242.30 × 153,060.44
  4. Step 4: Simplify right side
    233,662.32x = 49,322,546,613.40
  5. Step 5: Solve for x
    x = 49,322,546,613.40/233,662.32
  6. Step 6: Final answer
    x = 211,084.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.