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Finding the Fourth Proportional to 271,643.51, 374,849.82 and 164,272.74

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Solution

The fourth proportional to 271,643.51, 374,849.82 and 164,272.74 is: 226,685.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,643.51 : 374,849.82 = 164,272.74 : x
  2. Step 2: Convert to fraction form
    271,643.51/374,849.82 = 164,272.74/x
  3. Step 3: Cross multiply
    271,643.51x = 374,849.82 × 164,272.74
  4. Step 4: Simplify right side
    271,643.51x = 61,577,607,019.91
  5. Step 5: Solve for x
    x = 61,577,607,019.91/271,643.51
  6. Step 6: Final answer
    x = 226,685.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.