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Finding the Fourth Proportional to 203,195.54, 304,990.14 and 98,088.32

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Solution

The fourth proportional to 203,195.54, 304,990.14 and 98,088.32 is: 147,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,195.54 : 304,990.14 = 98,088.32 : x
  2. Step 2: Convert to fraction form
    203,195.54/304,990.14 = 98,088.32/x
  3. Step 3: Cross multiply
    203,195.54x = 304,990.14 × 98,088.32
  4. Step 4: Simplify right side
    203,195.54x = 29,915,971,579.47
  5. Step 5: Solve for x
    x = 29,915,971,579.47/203,195.54
  6. Step 6: Final answer
    x = 147,227.50

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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.