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Finding the Fourth Proportional to 271,054.56, 406,384.56 and 113,327.76

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Solution

The fourth proportional to 271,054.56, 406,384.56 and 113,327.76 is: 169,909.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    271,054.56 : 406,384.56 = 113,327.76 : x
  2. Step 2: Convert to fraction form
    271,054.56/406,384.56 = 113,327.76/x
  3. Step 3: Cross multiply
    271,054.56x = 406,384.56 × 113,327.76
  4. Step 4: Simplify right side
    271,054.56x = 46,054,651,883.39
  5. Step 5: Solve for x
    x = 46,054,651,883.39/271,054.56
  6. Step 6: Final answer
    x = 169,909.16

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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.