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Finding the Fourth Proportional to 141,293.89, 194,995.11 and 77,632.48

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Solution

The fourth proportional to 141,293.89, 194,995.11 and 77,632.48 is: 107,138.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,293.89 : 194,995.11 = 77,632.48 : x
  2. Step 2: Convert to fraction form
    141,293.89/194,995.11 = 77,632.48/x
  3. Step 3: Cross multiply
    141,293.89x = 194,995.11 × 77,632.48
  4. Step 4: Simplify right side
    141,293.89x = 15,137,953,977.17
  5. Step 5: Solve for x
    x = 15,137,953,977.17/141,293.89
  6. Step 6: Final answer
    x = 107,138.07

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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.