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Finding the Fourth Proportional to 180,202.83, 270,041.81 and 86,599.23

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Solution

The fourth proportional to 180,202.83, 270,041.81 and 86,599.23 is: 129,772.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,202.83 : 270,041.81 = 86,599.23 : x
  2. Step 2: Convert to fraction form
    180,202.83/270,041.81 = 86,599.23/x
  3. Step 3: Cross multiply
    180,202.83x = 270,041.81 × 86,599.23
  4. Step 4: Simplify right side
    180,202.83x = 23,385,412,380.81
  5. Step 5: Solve for x
    x = 23,385,412,380.81/180,202.83
  6. Step 6: Final answer
    x = 129,772.73

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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.