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Finding the Fourth Proportional to 140,856, 194,381.34 and 77,196.36

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Solution

The fourth proportional to 140,856, 194,381.34 and 77,196.36 is: 106,531.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,856 : 194,381.34 = 77,196.36 : x
  2. Step 2: Convert to fraction form
    140,856/194,381.34 = 77,196.36/x
  3. Step 3: Cross multiply
    140,856x = 194,381.34 × 77,196.36
  4. Step 4: Simplify right side
    140,856x = 15,005,531,899.92
  5. Step 5: Solve for x
    x = 15,005,531,899.92/140,856
  6. Step 6: Final answer
    x = 106,531.01

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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.