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Finding the Fourth Proportional to 152,069.59, 209,847.57 and 84,082.48

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Solution

The fourth proportional to 152,069.59, 209,847.57 and 84,082.48 is: 116,029.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,069.59 : 209,847.57 = 84,082.48 : x
  2. Step 2: Convert to fraction form
    152,069.59/209,847.57 = 84,082.48/x
  3. Step 3: Cross multiply
    152,069.59x = 209,847.57 × 84,082.48
  4. Step 4: Simplify right side
    152,069.59x = 17,644,504,107.57
  5. Step 5: Solve for x
    x = 17,644,504,107.57/152,069.59
  6. Step 6: Final answer
    x = 116,029.14

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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.