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Finding the Fourth Proportional to 271,952.19, 407,925.25 and 165,365.51

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Solution

The fourth proportional to 271,952.19, 407,925.25 and 165,365.51 is: 248,046.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,952.19 : 407,925.25 = 165,365.51 : x
  2. Step 2: Convert to fraction form
    271,952.19/407,925.25 = 165,365.51/x
  3. Step 3: Cross multiply
    271,952.19x = 407,925.25 × 165,365.51
  4. Step 4: Simplify right side
    271,952.19x = 67,456,764,555.09
  5. Step 5: Solve for x
    x = 67,456,764,555.09/271,952.19
  6. Step 6: Final answer
    x = 248,046.41

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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.