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Finding the Fourth Proportional to 203,863.16, 305,329.17 and 97,322.06

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Solution

The fourth proportional to 203,863.16, 305,329.17 and 97,322.06 is: 145,760.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,863.16 : 305,329.17 = 97,322.06 : x
  2. Step 2: Convert to fraction form
    203,863.16/305,329.17 = 97,322.06/x
  3. Step 3: Cross multiply
    203,863.16x = 305,329.17 × 97,322.06
  4. Step 4: Simplify right side
    203,863.16x = 29,715,263,802.49
  5. Step 5: Solve for x
    x = 29,715,263,802.49/203,863.16
  6. Step 6: Final answer
    x = 145,760.83

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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.