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Finding the Fourth Proportional to 271,753.46, 407,656.11 and 105,554.42

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Solution

The fourth proportional to 271,753.46, 407,656.11 and 105,554.42 is: 158,341.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,753.46 : 407,656.11 = 105,554.42 : x
  2. Step 2: Convert to fraction form
    271,753.46/407,656.11 = 105,554.42/x
  3. Step 3: Cross multiply
    271,753.46x = 407,656.11 × 105,554.42
  4. Step 4: Simplify right side
    271,753.46x = 43,029,904,250.51
  5. Step 5: Solve for x
    x = 43,029,904,250.51/271,753.46
  6. Step 6: Final answer
    x = 158,341.70

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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.