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Finding the Fourth Proportional to 231,812.82, 319,788.81 and 151,203.78

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Solution

The fourth proportional to 231,812.82, 319,788.81 and 151,203.78 is: 208,587.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,812.82 : 319,788.81 = 151,203.78 : x
  2. Step 2: Convert to fraction form
    231,812.82/319,788.81 = 151,203.78/x
  3. Step 3: Cross multiply
    231,812.82x = 319,788.81 × 151,203.78
  4. Step 4: Simplify right side
    231,812.82x = 48,353,276,873.70
  5. Step 5: Solve for x
    x = 48,353,276,873.70/231,812.82
  6. Step 6: Final answer
    x = 208,587.59

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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.