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Finding the Fourth Proportional to 111,829.80, 167,744.70 and 72,431.40

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Solution

The fourth proportional to 111,829.80, 167,744.70 and 72,431.40 is: 108,647.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,829.80 : 167,744.70 = 72,431.40 : x
  2. Step 2: Convert to fraction form
    111,829.80/167,744.70 = 72,431.40/x
  3. Step 3: Cross multiply
    111,829.80x = 167,744.70 × 72,431.40
  4. Step 4: Simplify right side
    111,829.80x = 12,149,983,463.58
  5. Step 5: Solve for x
    x = 12,149,983,463.58/111,829.80
  6. Step 6: Final answer
    x = 108,647.10

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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.