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Finding the Fourth Proportional to 200,232.91, 300,238.65 and 152,218.69

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Solution

The fourth proportional to 200,232.91, 300,238.65 and 152,218.69 is: 228,243.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,232.91 : 300,238.65 = 152,218.69 : x
  2. Step 2: Convert to fraction form
    200,232.91/300,238.65 = 152,218.69/x
  3. Step 3: Cross multiply
    200,232.91x = 300,238.65 × 152,218.69
  4. Step 4: Simplify right side
    200,232.91x = 45,701,934,928.61
  5. Step 5: Solve for x
    x = 45,701,934,928.61/200,232.91
  6. Step 6: Final answer
    x = 228,243.87

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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.