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Finding the Fourth Proportional to 187,872.66, 259,254.48 and 107,284.41

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Solution

The fourth proportional to 187,872.66, 259,254.48 and 107,284.41 is: 148,046.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,872.66 : 259,254.48 = 107,284.41 : x
  2. Step 2: Convert to fraction form
    187,872.66/259,254.48 = 107,284.41/x
  3. Step 3: Cross multiply
    187,872.66x = 259,254.48 × 107,284.41
  4. Step 4: Simplify right side
    187,872.66x = 27,813,963,926.66
  5. Step 5: Solve for x
    x = 27,813,963,926.66/187,872.66
  6. Step 6: Final answer
    x = 148,046.89

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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.