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Finding the Fourth Proportional to 119,859.76, 179,789.98 and 31,114.04

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Solution

The fourth proportional to 119,859.76, 179,789.98 and 31,114.04 is: 46,671.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,859.76 : 179,789.98 = 31,114.04 : x
  2. Step 2: Convert to fraction form
    119,859.76/179,789.98 = 31,114.04/x
  3. Step 3: Cross multiply
    119,859.76x = 179,789.98 × 31,114.04
  4. Step 4: Simplify right side
    119,859.76x = 5,593,991,730.37
  5. Step 5: Solve for x
    x = 5,593,991,730.37/119,859.76
  6. Step 6: Final answer
    x = 46,671.14

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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.