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Finding the Fourth Proportional to 250,712.42, 375,804.50 and 82,188.81

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Solution

The fourth proportional to 250,712.42, 375,804.50 and 82,188.81 is: 123,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,712.42 : 375,804.50 = 82,188.81 : x
  2. Step 2: Convert to fraction form
    250,712.42/375,804.50 = 82,188.81/x
  3. Step 3: Cross multiply
    250,712.42x = 375,804.50 × 82,188.81
  4. Step 4: Simplify right side
    250,712.42x = 30,886,924,236.70
  5. Step 5: Solve for x
    x = 30,886,924,236.70/250,712.42
  6. Step 6: Final answer
    x = 123,196.63

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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.