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Finding the Fourth Proportional to 141,161.68, 194,800.69 and 77,499.02

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Solution

The fourth proportional to 141,161.68, 194,800.69 and 77,499.02 is: 106,947.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,161.68 : 194,800.69 = 77,499.02 : x
  2. Step 2: Convert to fraction form
    141,161.68/194,800.69 = 77,499.02/x
  3. Step 3: Cross multiply
    141,161.68x = 194,800.69 × 77,499.02
  4. Step 4: Simplify right side
    141,161.68x = 15,096,863,154.20
  5. Step 5: Solve for x
    x = 15,096,863,154.20/141,161.68
  6. Step 6: Final answer
    x = 106,947.32

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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.