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Finding the Fourth Proportional to 185,048, 255,366.36 and 100,165.76

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Solution

The fourth proportional to 185,048, 255,366.36 and 100,165.76 is: 138,228.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,048 : 255,366.36 = 100,165.76 : x
  2. Step 2: Convert to fraction form
    185,048/255,366.36 = 100,165.76/x
  3. Step 3: Cross multiply
    185,048x = 255,366.36 × 100,165.76
  4. Step 4: Simplify right side
    185,048x = 25,578,965,527.83
  5. Step 5: Solve for x
    x = 25,578,965,527.83/185,048
  6. Step 6: Final answer
    x = 138,228.81

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Why These Related Problems?

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