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Finding the Fourth Proportional to 208,395.77, 287,586.46 and 112,902.46

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Solution

The fourth proportional to 208,395.77, 287,586.46 and 112,902.46 is: 155,805.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,395.77 : 287,586.46 = 112,902.46 : x
  2. Step 2: Convert to fraction form
    208,395.77/287,586.46 = 112,902.46/x
  3. Step 3: Cross multiply
    208,395.77x = 287,586.46 × 112,902.46
  4. Step 4: Simplify right side
    208,395.77x = 32,469,218,796.69
  5. Step 5: Solve for x
    x = 32,469,218,796.69/208,395.77
  6. Step 6: Final answer
    x = 155,805.56

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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.