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Finding the Fourth Proportional to 164,578.95, 246,967.02 and 151,194.51

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Solution

The fourth proportional to 164,578.95, 246,967.02 and 151,194.51 is: 226,882.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,578.95 : 246,967.02 = 151,194.51 : x
  2. Step 2: Convert to fraction form
    164,578.95/246,967.02 = 151,194.51/x
  3. Step 3: Cross multiply
    164,578.95x = 246,967.02 × 151,194.51
  4. Step 4: Simplify right side
    164,578.95x = 37,340,057,575.06
  5. Step 5: Solve for x
    x = 37,340,057,575.06/164,578.95
  6. Step 6: Final answer
    x = 226,882.34

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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.