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Finding the Fourth Proportional to 203,205.74, 305,005.44 and 98,098.52

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Solution

The fourth proportional to 203,205.74, 305,005.44 and 98,098.52 is: 147,242.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,205.74 : 305,005.44 = 98,098.52 : x
  2. Step 2: Convert to fraction form
    203,205.74/305,005.44 = 98,098.52/x
  3. Step 3: Cross multiply
    203,205.74x = 305,005.44 × 98,098.52
  4. Step 4: Simplify right side
    203,205.74x = 29,920,582,255.95
  5. Step 5: Solve for x
    x = 29,920,582,255.95/203,205.74
  6. Step 6: Final answer
    x = 147,242.80

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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.