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Finding the Fourth Proportional to 119,338.48, 179,043.24 and 49,222

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Solution

The fourth proportional to 119,338.48, 179,043.24 and 49,222 is: 73,847.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,338.48 : 179,043.24 = 49,222 : x
  2. Step 2: Convert to fraction form
    119,338.48/179,043.24 = 49,222/x
  3. Step 3: Cross multiply
    119,338.48x = 179,043.24 × 49,222
  4. Step 4: Simplify right side
    119,338.48x = 8,812,866,359.28
  5. Step 5: Solve for x
    x = 8,812,866,359.28/119,338.48
  6. Step 6: Final answer
    x = 73,847.65

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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.