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Finding the Fourth Proportional to 270,843.68, 406,303.35 and 113,036

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Solution

The fourth proportional to 270,843.68, 406,303.35 and 113,036 is: 169,569.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,843.68 : 406,303.35 = 113,036 : x
  2. Step 2: Convert to fraction form
    270,843.68/406,303.35 = 113,036/x
  3. Step 3: Cross multiply
    270,843.68x = 406,303.35 × 113,036
  4. Step 4: Simplify right side
    270,843.68x = 45,926,905,470.60
  5. Step 5: Solve for x
    x = 45,926,905,470.60/270,843.68
  6. Step 6: Final answer
    x = 169,569.79

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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.