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Finding the Fourth Proportional to 140,771.53, 194,264.79 and 77,110.39

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Solution

The fourth proportional to 140,771.53, 194,264.79 and 77,110.39 is: 106,412.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,771.53 : 194,264.79 = 77,110.39 : x
  2. Step 2: Convert to fraction form
    140,771.53/194,264.79 = 77,110.39/x
  3. Step 3: Cross multiply
    140,771.53x = 194,264.79 × 77,110.39
  4. Step 4: Simplify right side
    140,771.53x = 14,979,833,720.17
  5. Step 5: Solve for x
    x = 14,979,833,720.17/140,771.53
  6. Step 6: Final answer
    x = 106,412.38

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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.