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Finding the Fourth Proportional to 271,507.01, 407,261.86 and 111,670.11

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Solution

The fourth proportional to 271,507.01, 407,261.86 and 111,670.11 is: 167,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,507.01 : 407,261.86 = 111,670.11 : x
  2. Step 2: Convert to fraction form
    271,507.01/407,261.86 = 111,670.11/x
  3. Step 3: Cross multiply
    271,507.01x = 407,261.86 × 111,670.11
  4. Step 4: Simplify right side
    271,507.01x = 45,478,976,425.83
  5. Step 5: Solve for x
    x = 45,478,976,425.83/271,507.01
  6. Step 6: Final answer
    x = 167,505.72

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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.