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Finding the Fourth Proportional to 141,164.48, 194,807.32 and 77,506.38

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Solution

The fourth proportional to 141,164.48, 194,807.32 and 77,506.38 is: 106,958.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,164.48 : 194,807.32 = 77,506.38 : x
  2. Step 2: Convert to fraction form
    141,164.48/194,807.32 = 77,506.38/x
  3. Step 3: Cross multiply
    141,164.48x = 194,807.32 × 77,506.38
  4. Step 4: Simplify right side
    141,164.48x = 15,098,810,170.70
  5. Step 5: Solve for x
    x = 15,098,810,170.70/141,164.48
  6. Step 6: Final answer
    x = 106,958.99

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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.