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Finding the Fourth Proportional to 111,412.14, 167,224.31 and 69,164.35

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Solution

The fourth proportional to 111,412.14, 167,224.31 and 69,164.35 is: 103,812.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,412.14 : 167,224.31 = 69,164.35 : x
  2. Step 2: Convert to fraction form
    111,412.14/167,224.31 = 69,164.35/x
  3. Step 3: Cross multiply
    111,412.14x = 167,224.31 × 69,164.35
  4. Step 4: Simplify right side
    111,412.14x = 11,565,960,705.35
  5. Step 5: Solve for x
    x = 11,565,960,705.35/111,412.14
  6. Step 6: Final answer
    x = 103,812.39

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1.5x scale

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.