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Finding the Fourth Proportional to 203,211.54, 304,921.89 and 96,716.16

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Solution

The fourth proportional to 203,211.54, 304,921.89 and 96,716.16 is: 145,124.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,211.54 : 304,921.89 = 96,716.16 : x
  2. Step 2: Convert to fraction form
    203,211.54/304,921.89 = 96,716.16/x
  3. Step 3: Cross multiply
    203,211.54x = 304,921.89 × 96,716.16
  4. Step 4: Simplify right side
    203,211.54x = 29,490,874,300.74
  5. Step 5: Solve for x
    x = 29,490,874,300.74/203,211.54
  6. Step 6: Final answer
    x = 145,124.01

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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.