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Finding the Fourth Proportional to 147,770.25, 203,922.95 and 80,702.25

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Solution

The fourth proportional to 147,770.25, 203,922.95 and 80,702.25 is: 111,369.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,770.25 : 203,922.95 = 80,702.25 : x
  2. Step 2: Convert to fraction form
    147,770.25/203,922.95 = 80,702.25/x
  3. Step 3: Cross multiply
    147,770.25x = 203,922.95 × 80,702.25
  4. Step 4: Simplify right side
    147,770.25x = 16,457,040,488.13
  5. Step 5: Solve for x
    x = 16,457,040,488.13/147,770.25
  6. Step 6: Final answer
    x = 111,369.11

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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.