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Finding the Fourth Proportional to 141,193.28, 194,849.11 and 77,537.00

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Solution

The fourth proportional to 141,193.28, 194,849.11 and 77,537.00 is: 107,002.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,193.28 : 194,849.11 = 77,537.00 : x
  2. Step 2: Convert to fraction form
    141,193.28/194,849.11 = 77,537.00/x
  3. Step 3: Cross multiply
    141,193.28x = 194,849.11 × 77,537.00
  4. Step 4: Simplify right side
    141,193.28x = 15,108,016,026.11
  5. Step 5: Solve for x
    x = 15,108,016,026.11/141,193.28
  6. Step 6: Final answer
    x = 107,002.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.