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Finding the Fourth Proportional to 203,203.74, 305,002.44 and 98,096.52

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Solution

The fourth proportional to 203,203.74, 305,002.44 and 98,096.52 is: 147,239.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,203.74 : 305,002.44 = 98,096.52 : x
  2. Step 2: Convert to fraction form
    203,203.74/305,002.44 = 98,096.52/x
  3. Step 3: Cross multiply
    203,203.74x = 305,002.44 × 98,096.52
  4. Step 4: Simplify right side
    203,203.74x = 29,919,677,955.51
  5. Step 5: Solve for x
    x = 29,919,677,955.51/203,203.74
  6. Step 6: Final answer
    x = 147,239.80

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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.