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Finding the Fourth Proportional to 200,754.66, 301,148.37 and 100,863.30

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Solution

The fourth proportional to 200,754.66, 301,148.37 and 100,863.30 is: 151,303.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,754.66 : 301,148.37 = 100,863.30 : x
  2. Step 2: Convert to fraction form
    200,754.66/301,148.37 = 100,863.30/x
  3. Step 3: Cross multiply
    200,754.66x = 301,148.37 × 100,863.30
  4. Step 4: Simplify right side
    200,754.66x = 30,374,818,387.82
  5. Step 5: Solve for x
    x = 30,374,818,387.82/200,754.66
  6. Step 6: Final answer
    x = 151,303.18

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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.