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Finding the Fourth Proportional to 270,213.52, 405,101.44 and 112,560

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Solution

The fourth proportional to 270,213.52, 405,101.44 and 112,560 is: 168,748.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,213.52 : 405,101.44 = 112,560 : x
  2. Step 2: Convert to fraction form
    270,213.52/405,101.44 = 112,560/x
  3. Step 3: Cross multiply
    270,213.52x = 405,101.44 × 112,560
  4. Step 4: Simplify right side
    270,213.52x = 45,598,218,086.40
  5. Step 5: Solve for x
    x = 45,598,218,086.40/270,213.52
  6. Step 6: Final answer
    x = 168,748.84

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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.