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Finding the Fourth Proportional to 141,162.22, 194,797.74 and 77,501.08

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Solution

The fourth proportional to 141,162.22, 194,797.74 and 77,501.08 is: 106,948.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,162.22 : 194,797.74 = 77,501.08 : x
  2. Step 2: Convert to fraction form
    141,162.22/194,797.74 = 77,501.08/x
  3. Step 3: Cross multiply
    141,162.22x = 194,797.74 × 77,501.08
  4. Step 4: Simplify right side
    141,162.22x = 15,097,035,231.56
  5. Step 5: Solve for x
    x = 15,097,035,231.56/141,162.22
  6. Step 6: Final answer
    x = 106,948.13

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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.