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Finding the Fourth Proportional to 151,894.82, 227,848.54 and 52,123.62

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Solution

The fourth proportional to 151,894.82, 227,848.54 and 52,123.62 is: 78,187.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,894.82 : 227,848.54 = 52,123.62 : x
  2. Step 2: Convert to fraction form
    151,894.82/227,848.54 = 52,123.62/x
  3. Step 3: Cross multiply
    151,894.82x = 227,848.54 × 52,123.62
  4. Step 4: Simplify right side
    151,894.82x = 11,876,290,716.51
  5. Step 5: Solve for x
    x = 11,876,290,716.51/151,894.82
  6. Step 6: Final answer
    x = 78,187.60

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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.