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Finding the Fourth Proportional to 189,148.60, 283,722.90 and 83,855.80

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Solution

The fourth proportional to 189,148.60, 283,722.90 and 83,855.80 is: 125,783.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,148.60 : 283,722.90 = 83,855.80 : x
  2. Step 2: Convert to fraction form
    189,148.60/283,722.90 = 83,855.80/x
  3. Step 3: Cross multiply
    189,148.60x = 283,722.90 × 83,855.80
  4. Step 4: Simplify right side
    189,148.60x = 23,791,810,757.82
  5. Step 5: Solve for x
    x = 23,791,810,757.82/189,148.60
  6. Step 6: Final answer
    x = 125,783.70

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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.