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Finding the Fourth Proportional to 141,118.47, 194,744.12 and 77,456.79

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Solution

The fourth proportional to 141,118.47, 194,744.12 and 77,456.79 is: 106,890.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,118.47 : 194,744.12 = 77,456.79 : x
  2. Step 2: Convert to fraction form
    141,118.47/194,744.12 = 77,456.79/x
  3. Step 3: Cross multiply
    141,118.47x = 194,744.12 × 77,456.79
  4. Step 4: Simplify right side
    141,118.47x = 15,084,254,019.29
  5. Step 5: Solve for x
    x = 15,084,254,019.29/141,118.47
  6. Step 6: Final answer
    x = 106,890.71

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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.