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Finding the Fourth Proportional to 250,142.58, 375,218.67 and 92,289.78

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Solution

The fourth proportional to 250,142.58, 375,218.67 and 92,289.78 is: 138,436.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    250,142.58 : 375,218.67 = 92,289.78 : x
  2. Step 2: Convert to fraction form
    250,142.58/375,218.67 = 92,289.78/x
  3. Step 3: Cross multiply
    250,142.58x = 375,218.67 × 92,289.78
  4. Step 4: Simplify right side
    250,142.58x = 34,628,848,506.19
  5. Step 5: Solve for x
    x = 34,628,848,506.19/250,142.58
  6. Step 6: Final answer
    x = 138,436.44

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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.