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Finding the Fourth Proportional to 200,564.39, 276,619.42 and 170,449.40

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Solution

The fourth proportional to 200,564.39, 276,619.42 and 170,449.40 is: 235,084.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,564.39 : 276,619.42 = 170,449.40 : x
  2. Step 2: Convert to fraction form
    200,564.39/276,619.42 = 170,449.40/x
  3. Step 3: Cross multiply
    200,564.39x = 276,619.42 × 170,449.40
  4. Step 4: Simplify right side
    200,564.39x = 47,149,615,071.96
  5. Step 5: Solve for x
    x = 47,149,615,071.96/200,564.39
  6. Step 6: Final answer
    x = 235,084.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.