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Finding the Fourth Proportional to 220,340.25, 304,071.98 and 119,738.25

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Solution

The fourth proportional to 220,340.25, 304,071.98 and 119,738.25 is: 165,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    220,340.25 : 304,071.98 = 119,738.25 : x
  2. Step 2: Convert to fraction form
    220,340.25/304,071.98 = 119,738.25/x
  3. Step 3: Cross multiply
    220,340.25x = 304,071.98 × 119,738.25
  4. Step 4: Simplify right side
    220,340.25x = 36,409,046,160.54
  5. Step 5: Solve for x
    x = 36,409,046,160.54/220,340.25
  6. Step 6: Final answer
    x = 165,240.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.