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Finding the Fourth Proportional to 200,536.22, 300,801.13 and 48,734.53

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Solution

The fourth proportional to 200,536.22, 300,801.13 and 48,734.53 is: 73,101.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,536.22 : 300,801.13 = 48,734.53 : x
  2. Step 2: Convert to fraction form
    200,536.22/300,801.13 = 48,734.53/x
  3. Step 3: Cross multiply
    200,536.22x = 300,801.13 × 48,734.53
  4. Step 4: Simplify right side
    200,536.22x = 14,659,400,820.18
  5. Step 5: Solve for x
    x = 14,659,400,820.18/200,536.22
  6. Step 6: Final answer
    x = 73,101.01

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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.