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Finding the Fourth Proportional to 138,606.34, 191,276.49 and 78,176.80

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Solution

The fourth proportional to 138,606.34, 191,276.49 and 78,176.80 is: 107,883.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,606.34 : 191,276.49 = 78,176.80 : x
  2. Step 2: Convert to fraction form
    138,606.34/191,276.49 = 78,176.80/x
  3. Step 3: Cross multiply
    138,606.34x = 191,276.49 × 78,176.80
  4. Step 4: Simplify right side
    138,606.34x = 14,953,382,920.02
  5. Step 5: Solve for x
    x = 14,953,382,920.02/138,606.34
  6. Step 6: Final answer
    x = 107,883.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.