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Finding the Fourth Proportional to 111,588.40, 166,896.60 and 99,827.20

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Solution

The fourth proportional to 111,588.40, 166,896.60 and 99,827.20 is: 149,306.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,588.40 : 166,896.60 = 99,827.20 : x
  2. Step 2: Convert to fraction form
    111,588.40/166,896.60 = 99,827.20/x
  3. Step 3: Cross multiply
    111,588.40x = 166,896.60 × 99,827.20
  4. Step 4: Simplify right side
    111,588.40x = 16,660,820,267.52
  5. Step 5: Solve for x
    x = 16,660,820,267.52/111,588.40
  6. Step 6: Final answer
    x = 149,306.02

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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.