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Finding the Fourth Proportional to 203,484.80, 305,011.20 and 98,235.20

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Solution

The fourth proportional to 203,484.80, 305,011.20 and 98,235.20 is: 147,248.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    203,484.80 : 305,011.20 = 98,235.20 : x
  2. Step 2: Convert to fraction form
    203,484.80/305,011.20 = 98,235.20/x
  3. Step 3: Cross multiply
    203,484.80x = 305,011.20 × 98,235.20
  4. Step 4: Simplify right side
    203,484.80x = 29,962,836,234.24
  5. Step 5: Solve for x
    x = 29,962,836,234.24/203,484.80
  6. Step 6: Final answer
    x = 147,248.52

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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.