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Finding the Fourth Proportional to 231,404.64, 319,244.38 and 150,802.75

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Solution

The fourth proportional to 231,404.64, 319,244.38 and 150,802.75 is: 208,046.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,404.64 : 319,244.38 = 150,802.75 : x
  2. Step 2: Convert to fraction form
    231,404.64/319,244.38 = 150,802.75/x
  3. Step 3: Cross multiply
    231,404.64x = 319,244.38 × 150,802.75
  4. Step 4: Simplify right side
    231,404.64x = 48,142,930,426.05
  5. Step 5: Solve for x
    x = 48,142,930,426.05/231,404.64
  6. Step 6: Final answer
    x = 208,046.52

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