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Finding the Fourth Proportional to 208,098.30, 312,147.45 and 185,936.70

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Solution

The fourth proportional to 208,098.30, 312,147.45 and 185,936.70 is: 278,905.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,098.30 : 312,147.45 = 185,936.70 : x
  2. Step 2: Convert to fraction form
    208,098.30/312,147.45 = 185,936.70/x
  3. Step 3: Cross multiply
    208,098.30x = 312,147.45 × 185,936.70
  4. Step 4: Simplify right side
    208,098.30x = 58,039,666,766.42
  5. Step 5: Solve for x
    x = 58,039,666,766.42/208,098.30
  6. Step 6: Final answer
    x = 278,905.05

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1.5x scale

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.