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Finding the Fourth Proportional to 123,906.94, 185,867.48 and 35,153.46

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Solution

The fourth proportional to 123,906.94, 185,867.48 and 35,153.46 is: 52,732.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,906.94 : 185,867.48 = 35,153.46 : x
  2. Step 2: Convert to fraction form
    123,906.94/185,867.48 = 35,153.46/x
  3. Step 3: Cross multiply
    123,906.94x = 185,867.48 × 35,153.46
  4. Step 4: Simplify right side
    123,906.94x = 6,533,885,023.48
  5. Step 5: Solve for x
    x = 6,533,885,023.48/123,906.94
  6. Step 6: Final answer
    x = 52,732.20

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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.