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Finding the Fourth Proportional to 164,951.30, 227,635.44 and 89,499.80

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Solution

The fourth proportional to 164,951.30, 227,635.44 and 89,499.80 is: 123,511.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,951.30 : 227,635.44 = 89,499.80 : x
  2. Step 2: Convert to fraction form
    164,951.30/227,635.44 = 89,499.80/x
  3. Step 3: Cross multiply
    164,951.30x = 227,635.44 × 89,499.80
  4. Step 4: Simplify right side
    164,951.30x = 20,373,326,352.91
  5. Step 5: Solve for x
    x = 20,373,326,352.91/164,951.30
  6. Step 6: Final answer
    x = 123,511.16

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.