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Finding the Fourth Proportional to 303,322.13, 454,983.21 and 81,706.13

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Solution

The fourth proportional to 303,322.13, 454,983.21 and 81,706.13 is: 122,559.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    303,322.13 : 454,983.21 = 81,706.13 : x
  2. Step 2: Convert to fraction form
    303,322.13/454,983.21 = 81,706.13/x
  3. Step 3: Cross multiply
    303,322.13x = 454,983.21 × 81,706.13
  4. Step 4: Simplify right side
    303,322.13x = 37,174,915,029.16
  5. Step 5: Solve for x
    x = 37,174,915,029.16/303,322.13
  6. Step 6: Final answer
    x = 122,559.19

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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.