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Finding the Fourth Proportional to 119,878.29, 179,897.67 and 49,757.58

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Solution

The fourth proportional to 119,878.29, 179,897.67 and 49,757.58 is: 74,669.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,878.29 : 179,897.67 = 49,757.58 : x
  2. Step 2: Convert to fraction form
    119,878.29/179,897.67 = 49,757.58/x
  3. Step 3: Cross multiply
    119,878.29x = 179,897.67 × 49,757.58
  4. Step 4: Simplify right side
    119,878.29x = 8,951,272,706.84
  5. Step 5: Solve for x
    x = 8,951,272,706.84/119,878.29
  6. Step 6: Final answer
    x = 74,669.67

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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.