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Finding the Fourth Proportional to 203,096.76, 304,820.12 and 98,004.12

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Solution

The fourth proportional to 203,096.76, 304,820.12 and 98,004.12 is: 147,090.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,096.76 : 304,820.12 = 98,004.12 : x
  2. Step 2: Convert to fraction form
    203,096.76/304,820.12 = 98,004.12/x
  3. Step 3: Cross multiply
    203,096.76x = 304,820.12 × 98,004.12
  4. Step 4: Simplify right side
    203,096.76x = 29,873,627,618.89
  5. Step 5: Solve for x
    x = 29,873,627,618.89/203,096.76
  6. Step 6: Final answer
    x = 147,090.62

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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.