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Finding the Fourth Proportional to 119,914.17, 179,871.80 and 31,161.39

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Solution

The fourth proportional to 119,914.17, 179,871.80 and 31,161.39 is: 46,742.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,914.17 : 179,871.80 = 31,161.39 : x
  2. Step 2: Convert to fraction form
    119,914.17/179,871.80 = 31,161.39/x
  3. Step 3: Cross multiply
    119,914.17x = 179,871.80 × 31,161.39
  4. Step 4: Simplify right side
    119,914.17x = 5,605,055,154.00
  5. Step 5: Solve for x
    x = 5,605,055,154.00/119,914.17
  6. Step 6: Final answer
    x = 46,742.23

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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.