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Finding the Fourth Proportional to 203,838.66, 305,292.42 and 97,297.56

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Solution

The fourth proportional to 203,838.66, 305,292.42 and 97,297.56 is: 145,724.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,838.66 : 305,292.42 = 97,297.56 : x
  2. Step 2: Convert to fraction form
    203,838.66/305,292.42 = 97,297.56/x
  3. Step 3: Cross multiply
    203,838.66x = 305,292.42 × 97,297.56
  4. Step 4: Simplify right side
    203,838.66x = 29,704,207,552.50
  5. Step 5: Solve for x
    x = 29,704,207,552.50/203,838.66
  6. Step 6: Final answer
    x = 145,724.11

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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.