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Finding the Fourth Proportional to 111,386.88, 167,080.32 and 55,944

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Solution

The fourth proportional to 111,386.88, 167,080.32 and 55,944 is: 83,916

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,386.88 : 167,080.32 = 55,944 : x
  2. Step 2: Convert to fraction form
    111,386.88/167,080.32 = 55,944/x
  3. Step 3: Cross multiply
    111,386.88x = 167,080.32 × 55,944
  4. Step 4: Simplify right side
    111,386.88x = 9,347,141,422.08
  5. Step 5: Solve for x
    x = 9,347,141,422.08/111,386.88
  6. Step 6: Final answer
    x = 83,916

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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.