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Finding the Fourth Proportional to 100,080, 138,114.76 and 55,368

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Solution

The fourth proportional to 100,080, 138,114.76 and 55,368 is: 76,410.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,080 : 138,114.76 = 55,368 : x
  2. Step 2: Convert to fraction form
    100,080/138,114.76 = 55,368/x
  3. Step 3: Cross multiply
    100,080x = 138,114.76 × 55,368
  4. Step 4: Simplify right side
    100,080x = 7,647,138,031.68
  5. Step 5: Solve for x
    x = 7,647,138,031.68/100,080
  6. Step 6: Final answer
    x = 76,410.25

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.