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Finding the Fourth Proportional to 138,773.36, 191,511.87 and 85,048.00

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Solution

The fourth proportional to 138,773.36, 191,511.87 and 85,048.00 is: 117,369.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,773.36 : 191,511.87 = 85,048.00 : x
  2. Step 2: Convert to fraction form
    138,773.36/191,511.87 = 85,048.00/x
  3. Step 3: Cross multiply
    138,773.36x = 191,511.87 × 85,048.00
  4. Step 4: Simplify right side
    138,773.36x = 16,287,701,040.98
  5. Step 5: Solve for x
    x = 16,287,701,040.98/138,773.36
  6. Step 6: Final answer
    x = 117,369.07

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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.