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Finding the Fourth Proportional to 189,191.16, 283,786.74 and 64,533.24

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Solution

The fourth proportional to 189,191.16, 283,786.74 and 64,533.24 is: 96,799.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,191.16 : 283,786.74 = 64,533.24 : x
  2. Step 2: Convert to fraction form
    189,191.16/283,786.74 = 64,533.24/x
  3. Step 3: Cross multiply
    189,191.16x = 283,786.74 × 64,533.24
  4. Step 4: Simplify right side
    189,191.16x = 18,313,677,801.24
  5. Step 5: Solve for x
    x = 18,313,677,801.24/189,191.16
  6. Step 6: Final answer
    x = 96,799.86

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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.