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Finding the Fourth Proportional to 150,182.86, 225,336.93 and 65,899.48

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Solution

The fourth proportional to 150,182.86, 225,336.93 and 65,899.48 is: 98,876.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,182.86 : 225,336.93 = 65,899.48 : x
  2. Step 2: Convert to fraction form
    150,182.86/225,336.93 = 65,899.48/x
  3. Step 3: Cross multiply
    150,182.86x = 225,336.93 × 65,899.48
  4. Step 4: Simplify right side
    150,182.86x = 14,849,586,511.80
  5. Step 5: Solve for x
    x = 14,849,586,511.80/150,182.86
  6. Step 6: Final answer
    x = 98,876.71

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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.