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Finding the Fourth Proportional to 141,119.22, 194,747.04 and 77,462.94

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Solution

The fourth proportional to 141,119.22, 194,747.04 and 77,462.94 is: 106,900.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,119.22 : 194,747.04 = 77,462.94 : x
  2. Step 2: Convert to fraction form
    141,119.22/194,747.04 = 77,462.94/x
  3. Step 3: Cross multiply
    141,119.22x = 194,747.04 × 77,462.94
  4. Step 4: Simplify right side
    141,119.22x = 15,085,678,274.70
  5. Step 5: Solve for x
    x = 15,085,678,274.70/141,119.22
  6. Step 6: Final answer
    x = 106,900.24

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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.