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Finding the Fourth Proportional to 200,297.10, 300,549.21 and 88,056.06

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Solution

The fourth proportional to 200,297.10, 300,549.21 and 88,056.06 is: 132,129.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,297.10 : 300,549.21 = 88,056.06 : x
  2. Step 2: Convert to fraction form
    200,297.10/300,549.21 = 88,056.06/x
  3. Step 3: Cross multiply
    200,297.10x = 300,549.21 × 88,056.06
  4. Step 4: Simplify right side
    200,297.10x = 26,465,179,268.71
  5. Step 5: Solve for x
    x = 26,465,179,268.71/200,297.10
  6. Step 6: Final answer
    x = 132,129.62

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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.