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Finding the Fourth Proportional to 111,169, 166,770.78 and 37,314.28

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Solution

The fourth proportional to 111,169, 166,770.78 and 37,314.28 is: 55,977.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,169 : 166,770.78 = 37,314.28 : x
  2. Step 2: Convert to fraction form
    111,169/166,770.78 = 37,314.28/x
  3. Step 3: Cross multiply
    111,169x = 166,770.78 × 37,314.28
  4. Step 4: Simplify right side
    111,169x = 6,222,931,580.74
  5. Step 5: Solve for x
    x = 6,222,931,580.74/111,169
  6. Step 6: Final answer
    x = 55,977.22

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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.