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Finding the Fourth Proportional to 234,495.44, 351,743.38 and 164,686.40

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Solution

The fourth proportional to 234,495.44, 351,743.38 and 164,686.40 is: 247,029.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    234,495.44 : 351,743.38 = 164,686.40 : x
  2. Step 2: Convert to fraction form
    234,495.44/351,743.38 = 164,686.40/x
  3. Step 3: Cross multiply
    234,495.44x = 351,743.38 × 164,686.40
  4. Step 4: Simplify right side
    234,495.44x = 57,927,350,976.03
  5. Step 5: Solve for x
    x = 57,927,350,976.03/234,495.44
  6. Step 6: Final answer
    x = 247,029.75

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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.