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Finding the Fourth Proportional to 202,297.51, 303,506.49 and 89,962.27

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Solution

The fourth proportional to 202,297.51, 303,506.49 and 89,962.27 is: 134,970.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    202,297.51 : 303,506.49 = 89,962.27 : x
  2. Step 2: Convert to fraction form
    202,297.51/303,506.49 = 89,962.27/x
  3. Step 3: Cross multiply
    202,297.51x = 303,506.49 × 89,962.27
  4. Step 4: Simplify right side
    202,297.51x = 27,304,132,800.13
  5. Step 5: Solve for x
    x = 27,304,132,800.13/202,297.51
  6. Step 6: Final answer
    x = 134,970.19

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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.