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Finding the Fourth Proportional to 191,231.20, 286,846.80 and 106,904.80

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Solution

The fourth proportional to 191,231.20, 286,846.80 and 106,904.80 is: 160,357.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    191,231.20 : 286,846.80 = 106,904.80 : x
  2. Step 2: Convert to fraction form
    191,231.20/286,846.80 = 106,904.80/x
  3. Step 3: Cross multiply
    191,231.20x = 286,846.80 × 106,904.80
  4. Step 4: Simplify right side
    191,231.20x = 30,665,299,784.64
  5. Step 5: Solve for x
    x = 30,665,299,784.64/191,231.20
  6. Step 6: Final answer
    x = 160,357.20

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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.