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Finding the Fourth Proportional to 225,162.32, 310,765.74 and 144,690.44

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Solution

The fourth proportional to 225,162.32, 310,765.74 and 144,690.44 is: 199,699.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,162.32 : 310,765.74 = 144,690.44 : x
  2. Step 2: Convert to fraction form
    225,162.32/310,765.74 = 144,690.44/x
  3. Step 3: Cross multiply
    225,162.32x = 310,765.74 × 144,690.44
  4. Step 4: Simplify right side
    225,162.32x = 44,964,831,657.53
  5. Step 5: Solve for x
    x = 44,964,831,657.53/225,162.32
  6. Step 6: Final answer
    x = 199,699.63

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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.