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Finding the Fourth Proportional to 111,078.40, 166,631.46 and 36,206.08

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Solution

The fourth proportional to 111,078.40, 166,631.46 and 36,206.08 is: 54,313.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,078.40 : 166,631.46 = 36,206.08 : x
  2. Step 2: Convert to fraction form
    111,078.40/166,631.46 = 36,206.08/x
  3. Step 3: Cross multiply
    111,078.40x = 166,631.46 × 36,206.08
  4. Step 4: Simplify right side
    111,078.40x = 6,033,071,971.28
  5. Step 5: Solve for x
    x = 6,033,071,971.28/111,078.40
  6. Step 6: Final answer
    x = 54,313.64

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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.