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Finding the Fourth Proportional to 111,706.36, 167,678.90 and 45,189.96

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Solution

The fourth proportional to 111,706.36, 167,678.90 and 45,189.96 is: 67,833.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,706.36 : 167,678.90 = 45,189.96 : x
  2. Step 2: Convert to fraction form
    111,706.36/167,678.90 = 45,189.96/x
  3. Step 3: Cross multiply
    111,706.36x = 167,678.90 × 45,189.96
  4. Step 4: Simplify right side
    111,706.36x = 7,577,402,783.84
  5. Step 5: Solve for x
    x = 7,577,402,783.84/111,706.36
  6. Step 6: Final answer
    x = 67,833.23

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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.