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Finding the Fourth Proportional to 205,175.25, 307,132.25 and 174,908.01

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Solution

The fourth proportional to 205,175.25, 307,132.25 and 174,908.01 is: 261,824.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    205,175.25 : 307,132.25 = 174,908.01 : x
  2. Step 2: Convert to fraction form
    205,175.25/307,132.25 = 174,908.01/x
  3. Step 3: Cross multiply
    205,175.25x = 307,132.25 × 174,908.01
  4. Step 4: Simplify right side
    205,175.25x = 53,719,889,779.78
  5. Step 5: Solve for x
    x = 53,719,889,779.78/205,175.25
  6. Step 6: Final answer
    x = 261,824.41

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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.