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Finding the Fourth Proportional to 141,063.70, 194,668.14 and 77,401.98

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Solution

The fourth proportional to 141,063.70, 194,668.14 and 77,401.98 is: 106,814.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,063.70 : 194,668.14 = 77,401.98 : x
  2. Step 2: Convert to fraction form
    141,063.70/194,668.14 = 77,401.98/x
  3. Step 3: Cross multiply
    141,063.70x = 194,668.14 × 77,401.98
  4. Step 4: Simplify right side
    141,063.70x = 15,067,699,478.92
  5. Step 5: Solve for x
    x = 15,067,699,478.92/141,063.70
  6. Step 6: Final answer
    x = 106,814.86

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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.