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Finding the Fourth Proportional to 231,716.40, 347,574.60 and 82,125.60

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Solution

The fourth proportional to 231,716.40, 347,574.60 and 82,125.60 is: 123,188.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,716.40 : 347,574.60 = 82,125.60 : x
  2. Step 2: Convert to fraction form
    231,716.40/347,574.60 = 82,125.60/x
  3. Step 3: Cross multiply
    231,716.40x = 347,574.60 × 82,125.60
  4. Step 4: Simplify right side
    231,716.40x = 28,544,772,569.76
  5. Step 5: Solve for x
    x = 28,544,772,569.76/231,716.40
  6. Step 6: Final answer
    x = 123,188.40

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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.