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Finding the Fourth Proportional to 187,484.94, 258,745.38 and 106,915.86

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Solution

The fourth proportional to 187,484.94, 258,745.38 and 106,915.86 is: 147,553.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    187,484.94 : 258,745.38 = 106,915.86 : x
  2. Step 2: Convert to fraction form
    187,484.94/258,745.38 = 106,915.86/x
  3. Step 3: Cross multiply
    187,484.94x = 258,745.38 × 106,915.86
  4. Step 4: Simplify right side
    187,484.94x = 27,663,984,823.73
  5. Step 5: Solve for x
    x = 27,663,984,823.73/187,484.94
  6. Step 6: Final answer
    x = 147,553.10

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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.