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Finding the Fourth Proportional to 189,008.68, 283,318.30 and 83,877.16

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Solution

The fourth proportional to 189,008.68, 283,318.30 and 83,877.16 is: 125,729.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,008.68 : 283,318.30 = 83,877.16 : x
  2. Step 2: Convert to fraction form
    189,008.68/283,318.30 = 83,877.16/x
  3. Step 3: Cross multiply
    189,008.68x = 283,318.30 × 83,877.16
  4. Step 4: Simplify right side
    189,008.68x = 23,763,934,380.03
  5. Step 5: Solve for x
    x = 23,763,934,380.03/189,008.68
  6. Step 6: Final answer
    x = 125,729.33

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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.