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Finding the Fourth Proportional to 189,092.80, 283,639.20 and 83,922.40

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Solution

The fourth proportional to 189,092.80, 283,639.20 and 83,922.40 is: 125,883.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,092.80 : 283,639.20 = 83,922.40 : x
  2. Step 2: Convert to fraction form
    189,092.80/283,639.20 = 83,922.40/x
  3. Step 3: Cross multiply
    189,092.80x = 283,639.20 × 83,922.40
  4. Step 4: Simplify right side
    189,092.80x = 23,803,682,398.08
  5. Step 5: Solve for x
    x = 23,803,682,398.08/189,092.80
  6. Step 6: Final answer
    x = 125,883.60

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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.