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Finding the Fourth Proportional to 185,046, 255,363.60 and 100,163.76

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Solution

The fourth proportional to 185,046, 255,363.60 and 100,163.76 is: 138,226.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    185,046 : 255,363.60 = 100,163.76 : x
  2. Step 2: Convert to fraction form
    185,046/255,363.60 = 100,163.76/x
  3. Step 3: Cross multiply
    185,046x = 255,363.60 × 100,163.76
  4. Step 4: Simplify right side
    185,046x = 25,578,178,343.14
  5. Step 5: Solve for x
    x = 25,578,178,343.14/185,046
  6. Step 6: Final answer
    x = 138,226.05

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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.