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Finding the Fourth Proportional to 151,692, 227,538 and 40,884

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Solution

The fourth proportional to 151,692, 227,538 and 40,884 is: 61,326

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,692 : 227,538 = 40,884 : x
  2. Step 2: Convert to fraction form
    151,692/227,538 = 40,884/x
  3. Step 3: Cross multiply
    151,692x = 227,538 × 40,884
  4. Step 4: Simplify right side
    151,692x = 9,302,663,592
  5. Step 5: Solve for x
    x = 9,302,663,592/151,692
  6. Step 6: Final answer
    x = 61,326

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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.