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Finding the Fourth Proportional to 164,081.40, 246,122.10 and 137,837.40

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Solution

The fourth proportional to 164,081.40, 246,122.10 and 137,837.40 is: 206,756.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,081.40 : 246,122.10 = 137,837.40 : x
  2. Step 2: Convert to fraction form
    164,081.40/246,122.10 = 137,837.40/x
  3. Step 3: Cross multiply
    164,081.40x = 246,122.10 × 137,837.40
  4. Step 4: Simplify right side
    164,081.40x = 33,924,830,346.54
  5. Step 5: Solve for x
    x = 33,924,830,346.54/164,081.40
  6. Step 6: Final answer
    x = 206,756.10

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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.