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Finding the Fourth Proportional to 141,179.35, 194,830.29 and 77,516.59

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Solution

The fourth proportional to 141,179.35, 194,830.29 and 77,516.59 is: 106,974.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,179.35 : 194,830.29 = 77,516.59 : x
  2. Step 2: Convert to fraction form
    141,179.35/194,830.29 = 77,516.59/x
  3. Step 3: Cross multiply
    141,179.35x = 194,830.29 × 77,516.59
  4. Step 4: Simplify right side
    141,179.35x = 15,102,578,347.78
  5. Step 5: Solve for x
    x = 15,102,578,347.78/141,179.35
  6. Step 6: Final answer
    x = 106,974.42

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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.