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Finding the Fourth Proportional to 270,955.64, 406,446.42 and 130,832.12

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Solution

The fourth proportional to 270,955.64, 406,446.42 and 130,832.12 is: 196,254.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,955.64 : 406,446.42 = 130,832.12 : x
  2. Step 2: Convert to fraction form
    270,955.64/406,446.42 = 130,832.12/x
  3. Step 3: Cross multiply
    270,955.64x = 406,446.42 × 130,832.12
  4. Step 4: Simplify right side
    270,955.64x = 53,176,246,795.01
  5. Step 5: Solve for x
    x = 53,176,246,795.01/270,955.64
  6. Step 6: Final answer
    x = 196,254.44

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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.