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Finding the Fourth Proportional to 200,734.83, 301,102.74 and 67,708.53

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Solution

The fourth proportional to 200,734.83, 301,102.74 and 67,708.53 is: 101,562.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,734.83 : 301,102.74 = 67,708.53 : x
  2. Step 2: Convert to fraction form
    200,734.83/301,102.74 = 67,708.53/x
  3. Step 3: Cross multiply
    200,734.83x = 301,102.74 × 67,708.53
  4. Step 4: Simplify right side
    200,734.83x = 20,387,223,904.37
  5. Step 5: Solve for x
    x = 20,387,223,904.37/200,734.83
  6. Step 6: Final answer
    x = 101,562.96

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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.