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Finding the Fourth Proportional to 111,474.33, 167,113.05 and 85,295.94

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Solution

The fourth proportional to 111,474.33, 167,113.05 and 85,295.94 is: 127,868.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,474.33 : 167,113.05 = 85,295.94 : x
  2. Step 2: Convert to fraction form
    111,474.33/167,113.05 = 85,295.94/x
  3. Step 3: Cross multiply
    111,474.33x = 167,113.05 × 85,295.94
  4. Step 4: Simplify right side
    111,474.33x = 14,254,064,686.02
  5. Step 5: Solve for x
    x = 14,254,064,686.02/111,474.33
  6. Step 6: Final answer
    x = 127,868.58

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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.