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Finding the Fourth Proportional to 138,472.34, 191,091.83 and 78,045.21

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Solution

The fourth proportional to 138,472.34, 191,091.83 and 78,045.21 is: 107,702.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,472.34 : 191,091.83 = 78,045.21 : x
  2. Step 2: Convert to fraction form
    138,472.34/191,091.83 = 78,045.21/x
  3. Step 3: Cross multiply
    138,472.34x = 191,091.83 × 78,045.21
  4. Step 4: Simplify right side
    138,472.34x = 14,913,801,611.41
  5. Step 5: Solve for x
    x = 14,913,801,611.41/138,472.34
  6. Step 6: Final answer
    x = 107,702.39

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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.