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Finding the Fourth Proportional to 119,854.42, 179,861.88 and 49,733.80

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Solution

The fourth proportional to 119,854.42, 179,861.88 and 49,733.80 is: 74,634.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,854.42 : 179,861.88 = 49,733.80 : x
  2. Step 2: Convert to fraction form
    119,854.42/179,861.88 = 49,733.80/x
  3. Step 3: Cross multiply
    119,854.42x = 179,861.88 × 49,733.80
  4. Step 4: Simplify right side
    119,854.42x = 8,945,214,767.54
  5. Step 5: Solve for x
    x = 8,945,214,767.54/119,854.42
  6. Step 6: Final answer
    x = 74,634.00

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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.