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Finding the Fourth Proportional to 224,047.09, 308,977.23 and 163,521.91

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Solution

The fourth proportional to 224,047.09, 308,977.23 and 163,521.91 is: 225,508.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    224,047.09 : 308,977.23 = 163,521.91 : x
  2. Step 2: Convert to fraction form
    224,047.09/308,977.23 = 163,521.91/x
  3. Step 3: Cross multiply
    224,047.09x = 308,977.23 × 163,521.91
  4. Step 4: Simplify right side
    224,047.09x = 50,524,546,796.11
  5. Step 5: Solve for x
    x = 50,524,546,796.11/224,047.09
  6. Step 6: Final answer
    x = 225,508.61

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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.