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Finding the Fourth Proportional to 123,867.97, 185,809.02 and 35,114.50

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Solution

The fourth proportional to 123,867.97, 185,809.02 and 35,114.50 is: 52,673.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,867.97 : 185,809.02 = 35,114.50 : x
  2. Step 2: Convert to fraction form
    123,867.97/185,809.02 = 35,114.50/x
  3. Step 3: Cross multiply
    123,867.97x = 185,809.02 × 35,114.50
  4. Step 4: Simplify right side
    123,867.97x = 6,524,590,832.79
  5. Step 5: Solve for x
    x = 6,524,590,832.79/123,867.97
  6. Step 6: Final answer
    x = 52,673.75

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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.