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Finding the Fourth Proportional to 119,186.29, 178,741.43 and 39,205.97

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Solution

The fourth proportional to 119,186.29, 178,741.43 and 39,205.97 is: 58,796.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,186.29 : 178,741.43 = 39,205.97 : x
  2. Step 2: Convert to fraction form
    119,186.29/178,741.43 = 39,205.97/x
  3. Step 3: Cross multiply
    119,186.29x = 178,741.43 × 39,205.97
  4. Step 4: Simplify right side
    119,186.29x = 7,007,732,095.86
  5. Step 5: Solve for x
    x = 7,007,732,095.86/119,186.29
  6. Step 6: Final answer
    x = 58,796.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.