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Finding the Fourth Proportional to 225,076.24, 310,458.72 and 144,375.88

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Solution

The fourth proportional to 225,076.24, 310,458.72 and 144,375.88 is: 199,144.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,076.24 : 310,458.72 = 144,375.88 : x
  2. Step 2: Convert to fraction form
    225,076.24/310,458.72 = 144,375.88/x
  3. Step 3: Cross multiply
    225,076.24x = 310,458.72 × 144,375.88
  4. Step 4: Simplify right side
    225,076.24x = 44,822,750,903.67
  5. Step 5: Solve for x
    x = 44,822,750,903.67/225,076.24
  6. Step 6: Final answer
    x = 199,144.75

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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.