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Finding the Fourth Proportional to 189,165.62, 283,832.01 and 99,186.84

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Solution

The fourth proportional to 189,165.62, 283,832.01 and 99,186.84 is: 148,824.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,165.62 : 283,832.01 = 99,186.84 : x
  2. Step 2: Convert to fraction form
    189,165.62/283,832.01 = 99,186.84/x
  3. Step 3: Cross multiply
    189,165.62x = 283,832.01 × 99,186.84
  4. Step 4: Simplify right side
    189,165.62x = 28,152,400,162.75
  5. Step 5: Solve for x
    x = 28,152,400,162.75/189,165.62
  6. Step 6: Final answer
    x = 148,824.09

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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.