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Finding the Fourth Proportional to 271,548.56, 374,720.10 and 164,055.08

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Solution

The fourth proportional to 271,548.56, 374,720.10 and 164,055.08 is: 226,385.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,548.56 : 374,720.10 = 164,055.08 : x
  2. Step 2: Convert to fraction form
    271,548.56/374,720.10 = 164,055.08/x
  3. Step 3: Cross multiply
    271,548.56x = 374,720.10 × 164,055.08
  4. Step 4: Simplify right side
    271,548.56x = 61,474,735,983.11
  5. Step 5: Solve for x
    x = 61,474,735,983.11/271,548.56
  6. Step 6: Final answer
    x = 226,385.79

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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.