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Finding the Fourth Proportional to 103,169.64, 154,729.83 and 53,224.03

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Solution

The fourth proportional to 103,169.64, 154,729.83 and 53,224.03 is: 79,823.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,169.64 : 154,729.83 = 53,224.03 : x
  2. Step 2: Convert to fraction form
    103,169.64/154,729.83 = 53,224.03/x
  3. Step 3: Cross multiply
    103,169.64x = 154,729.83 × 53,224.03
  4. Step 4: Simplify right side
    103,169.64x = 8,235,345,113.81
  5. Step 5: Solve for x
    x = 8,235,345,113.81/103,169.64
  6. Step 6: Final answer
    x = 79,823.34

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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.