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Finding the Fourth Proportional to 141,178.69, 194,829.74 and 77,516.74

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Solution

The fourth proportional to 141,178.69, 194,829.74 and 77,516.74 is: 106,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,178.69 : 194,829.74 = 77,516.74 : x
  2. Step 2: Convert to fraction form
    141,178.69/194,829.74 = 77,516.74/x
  3. Step 3: Cross multiply
    141,178.69x = 194,829.74 × 77,516.74
  4. Step 4: Simplify right side
    141,178.69x = 15,102,566,299.85
  5. Step 5: Solve for x
    x = 15,102,566,299.85/141,178.69
  6. Step 6: Final answer
    x = 106,974.83

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.