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Finding the Fourth Proportional to 208,817.70, 313,226.55 and 75,702.30

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Solution

The fourth proportional to 208,817.70, 313,226.55 and 75,702.30 is: 113,553.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,817.70 : 313,226.55 = 75,702.30 : x
  2. Step 2: Convert to fraction form
    208,817.70/313,226.55 = 75,702.30/x
  3. Step 3: Cross multiply
    208,817.70x = 313,226.55 × 75,702.30
  4. Step 4: Simplify right side
    208,817.70x = 23,711,970,256.07
  5. Step 5: Solve for x
    x = 23,711,970,256.07/208,817.70
  6. Step 6: Final answer
    x = 113,553.45

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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.