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Finding the Fourth Proportional to 270,490.98, 405,773.40 and 112,682.53

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Solution

The fourth proportional to 270,490.98, 405,773.40 and 112,682.53 is: 169,039.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,490.98 : 405,773.40 = 112,682.53 : x
  2. Step 2: Convert to fraction form
    270,490.98/405,773.40 = 112,682.53/x
  3. Step 3: Cross multiply
    270,490.98x = 405,773.40 × 112,682.53
  4. Step 4: Simplify right side
    270,490.98x = 45,723,573,614.64
  5. Step 5: Solve for x
    x = 45,723,573,614.64/270,490.98
  6. Step 6: Final answer
    x = 169,039.18

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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.