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Finding the Fourth Proportional to 167,758.81, 231,430.87 and 99,737.20

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Solution

The fourth proportional to 167,758.81, 231,430.87 and 99,737.20 is: 137,591.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,758.81 : 231,430.87 = 99,737.20 : x
  2. Step 2: Convert to fraction form
    167,758.81/231,430.87 = 99,737.20/x
  3. Step 3: Cross multiply
    167,758.81x = 231,430.87 × 99,737.20
  4. Step 4: Simplify right side
    167,758.81x = 23,082,266,967.36
  5. Step 5: Solve for x
    x = 23,082,266,967.36/167,758.81
  6. Step 6: Final answer
    x = 137,591.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.