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Finding the Fourth Proportional to 111,224.19, 166,822.44 and 44,641.86

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Solution

The fourth proportional to 111,224.19, 166,822.44 and 44,641.86 is: 66,957.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,224.19 : 166,822.44 = 44,641.86 : x
  2. Step 2: Convert to fraction form
    111,224.19/166,822.44 = 44,641.86/x
  3. Step 3: Cross multiply
    111,224.19x = 166,822.44 × 44,641.86
  4. Step 4: Simplify right side
    111,224.19x = 7,447,264,011.34
  5. Step 5: Solve for x
    x = 7,447,264,011.34/111,224.19
  6. Step 6: Final answer
    x = 66,957.23

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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.