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Finding the Fourth Proportional to 270,828.18, 406,280.08 and 113,020.48

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Solution

The fourth proportional to 270,828.18, 406,280.08 and 113,020.48 is: 169,546.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,828.18 : 406,280.08 = 113,020.48 : x
  2. Step 2: Convert to fraction form
    270,828.18/406,280.08 = 113,020.48/x
  3. Step 3: Cross multiply
    270,828.18x = 406,280.08 × 113,020.48
  4. Step 4: Simplify right side
    270,828.18x = 45,917,969,656.04
  5. Step 5: Solve for x
    x = 45,917,969,656.04/270,828.18
  6. Step 6: Final answer
    x = 169,546.50

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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.