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Finding the Fourth Proportional to 208,000.20, 312,000.30 and 199,835.40

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Solution

The fourth proportional to 208,000.20, 312,000.30 and 199,835.40 is: 299,753.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,000.20 : 312,000.30 = 199,835.40 : x
  2. Step 2: Convert to fraction form
    208,000.20/312,000.30 = 199,835.40/x
  3. Step 3: Cross multiply
    208,000.20x = 312,000.30 × 199,835.40
  4. Step 4: Simplify right side
    208,000.20x = 62,348,704,750.62
  5. Step 5: Solve for x
    x = 62,348,704,750.62/208,000.20
  6. Step 6: Final answer
    x = 299,753.10

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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.