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Finding the Fourth Proportional to 204,709.98, 282,520.59 and 114,080.70

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Solution

The fourth proportional to 204,709.98, 282,520.59 and 114,080.70 is: 157,442.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,709.98 : 282,520.59 = 114,080.70 : x
  2. Step 2: Convert to fraction form
    204,709.98/282,520.59 = 114,080.70/x
  3. Step 3: Cross multiply
    204,709.98x = 282,520.59 × 114,080.70
  4. Step 4: Simplify right side
    204,709.98x = 32,230,146,671.61
  5. Step 5: Solve for x
    x = 32,230,146,671.61/204,709.98
  6. Step 6: Final answer
    x = 157,442.97

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.