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Finding the Fourth Proportional to 270,765.60, 406,036.62 and 102,257.25

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Solution

The fourth proportional to 270,765.60, 406,036.62 and 102,257.25 is: 153,343.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,765.60 : 406,036.62 = 102,257.25 : x
  2. Step 2: Convert to fraction form
    270,765.60/406,036.62 = 102,257.25/x
  3. Step 3: Cross multiply
    270,765.60x = 406,036.62 × 102,257.25
  4. Step 4: Simplify right side
    270,765.60x = 41,520,188,160.50
  5. Step 5: Solve for x
    x = 41,520,188,160.50/270,765.60
  6. Step 6: Final answer
    x = 153,343.66

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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.