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Finding the Fourth Proportional to 167,670, 231,267.42 and 110,291.22

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Solution

The fourth proportional to 167,670, 231,267.42 and 110,291.22 is: 152,124.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    167,670 : 231,267.42 = 110,291.22 : x
  2. Step 2: Convert to fraction form
    167,670/231,267.42 = 110,291.22/x
  3. Step 3: Cross multiply
    167,670x = 231,267.42 × 110,291.22
  4. Step 4: Simplify right side
    167,670x = 25,506,765,898.05
  5. Step 5: Solve for x
    x = 25,506,765,898.05/167,670
  6. Step 6: Final answer
    x = 152,124.80

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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.