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Finding the Fourth Proportional to 141,199.38, 194,854.14 and 77,535.90

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Solution

The fourth proportional to 141,199.38, 194,854.14 and 77,535.90 is: 106,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,199.38 : 194,854.14 = 77,535.90 : x
  2. Step 2: Convert to fraction form
    141,199.38/194,854.14 = 77,535.90/x
  3. Step 3: Cross multiply
    141,199.38x = 194,854.14 × 77,535.90
  4. Step 4: Simplify right side
    141,199.38x = 15,108,191,113.63
  5. Step 5: Solve for x
    x = 15,108,191,113.63/141,199.38
  6. Step 6: Final answer
    x = 106,998.99

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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.