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Finding the Fourth Proportional to 111,507.20, 167,259.84 and 49,177.76

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Solution

The fourth proportional to 111,507.20, 167,259.84 and 49,177.76 is: 73,766.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,507.20 : 167,259.84 = 49,177.76 : x
  2. Step 2: Convert to fraction form
    111,507.20/167,259.84 = 49,177.76/x
  3. Step 3: Cross multiply
    111,507.20x = 167,259.84 × 49,177.76
  4. Step 4: Simplify right side
    111,507.20x = 8,225,464,269.16
  5. Step 5: Solve for x
    x = 8,225,464,269.16/111,507.20
  6. Step 6: Final answer
    x = 73,766.22

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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.