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Finding the Fourth Proportional to 111,295.17, 166,941.24 and 27,055.08

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Solution

The fourth proportional to 111,295.17, 166,941.24 and 27,055.08 is: 40,582.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,295.17 : 166,941.24 = 27,055.08 : x
  2. Step 2: Convert to fraction form
    111,295.17/166,941.24 = 27,055.08/x
  3. Step 3: Cross multiply
    111,295.17x = 166,941.24 × 27,055.08
  4. Step 4: Simplify right side
    111,295.17x = 4,516,608,603.50
  5. Step 5: Solve for x
    x = 4,516,608,603.50/111,295.17
  6. Step 6: Final answer
    x = 40,582.25

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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.