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Finding the Fourth Proportional to 111,415.54, 167,035.65 and 55,217.02

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Solution

The fourth proportional to 111,415.54, 167,035.65 and 55,217.02 is: 82,782.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,415.54 : 167,035.65 = 55,217.02 : x
  2. Step 2: Convert to fraction form
    111,415.54/167,035.65 = 55,217.02/x
  3. Step 3: Cross multiply
    111,415.54x = 167,035.65 × 55,217.02
  4. Step 4: Simplify right side
    111,415.54x = 9,223,210,826.76
  5. Step 5: Solve for x
    x = 9,223,210,826.76/111,415.54
  6. Step 6: Final answer
    x = 82,782.09

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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.