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Finding the Fourth Proportional to 141,298.56, 194,992.11 and 77,641.07

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Solution

The fourth proportional to 141,298.56, 194,992.11 and 77,641.07 is: 107,144.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,298.56 : 194,992.11 = 77,641.07 : x
  2. Step 2: Convert to fraction form
    141,298.56/194,992.11 = 77,641.07/x
  3. Step 3: Cross multiply
    141,298.56x = 194,992.11 × 77,641.07
  4. Step 4: Simplify right side
    141,298.56x = 15,139,395,087.00
  5. Step 5: Solve for x
    x = 15,139,395,087.00/141,298.56
  6. Step 6: Final answer
    x = 107,144.72

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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.