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Finding the Fourth Proportional to 151,991.84, 227,987.87 and 39,671.78

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Solution

The fourth proportional to 151,991.84, 227,987.87 and 39,671.78 is: 59,507.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,991.84 : 227,987.87 = 39,671.78 : x
  2. Step 2: Convert to fraction form
    151,991.84/227,987.87 = 39,671.78/x
  3. Step 3: Cross multiply
    151,991.84x = 227,987.87 × 39,671.78
  4. Step 4: Simplify right side
    151,991.84x = 9,044,683,283.01
  5. Step 5: Solve for x
    x = 9,044,683,283.01/151,991.84
  6. Step 6: Final answer
    x = 59,507.69

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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.