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Finding the Fourth Proportional to 151,674.70, 209,309.70 and 83,692.30

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Solution

The fourth proportional to 151,674.70, 209,309.70 and 83,692.30 is: 115,494.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,674.70 : 209,309.70 = 83,692.30 : x
  2. Step 2: Convert to fraction form
    151,674.70/209,309.70 = 83,692.30/x
  3. Step 3: Cross multiply
    151,674.70x = 209,309.70 × 83,692.30
  4. Step 4: Simplify right side
    151,674.70x = 17,517,610,205.31
  5. Step 5: Solve for x
    x = 17,517,610,205.31/151,674.70
  6. Step 6: Final answer
    x = 115,494.61

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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.