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Finding the Fourth Proportional to 225,093.30, 310,724.38 and 140,252.28

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Solution

The fourth proportional to 225,093.30, 310,724.38 and 140,252.28 is: 193,607.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,093.30 : 310,724.38 = 140,252.28 : x
  2. Step 2: Convert to fraction form
    225,093.30/310,724.38 = 140,252.28/x
  3. Step 3: Cross multiply
    225,093.30x = 310,724.38 × 140,252.28
  4. Step 4: Simplify right side
    225,093.30x = 43,579,802,746.59
  5. Step 5: Solve for x
    x = 43,579,802,746.59/225,093.30
  6. Step 6: Final answer
    x = 193,607.73

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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.