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Finding the Fourth Proportional to 141,157.11, 194,797.14 and 77,499.01

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Solution

The fourth proportional to 141,157.11, 194,797.14 and 77,499.01 is: 106,948.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,157.11 : 194,797.14 = 77,499.01 : x
  2. Step 2: Convert to fraction form
    141,157.11/194,797.14 = 77,499.01/x
  3. Step 3: Cross multiply
    141,157.11x = 194,797.14 × 77,499.01
  4. Step 4: Simplify right side
    141,157.11x = 15,096,585,500.83
  5. Step 5: Solve for x
    x = 15,096,585,500.83/141,157.11
  6. Step 6: Final answer
    x = 106,948.81

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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.