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Finding the Fourth Proportional to 185,022, 255,330.36 and 100,139.76

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Solution

The fourth proportional to 185,022, 255,330.36 and 100,139.76 is: 138,192.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,022 : 255,330.36 = 100,139.76 : x
  2. Step 2: Convert to fraction form
    185,022/255,330.36 = 100,139.76/x
  3. Step 3: Cross multiply
    185,022x = 255,330.36 × 100,139.76
  4. Step 4: Simplify right side
    185,022x = 25,568,720,971.11
  5. Step 5: Solve for x
    x = 25,568,720,971.11/185,022
  6. Step 6: Final answer
    x = 138,192.87

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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.