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Finding the Fourth Proportional to 194,722.54, 292,086.15 and 68,365.96

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Solution

The fourth proportional to 194,722.54, 292,086.15 and 68,365.96 is: 102,549.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,722.54 : 292,086.15 = 68,365.96 : x
  2. Step 2: Convert to fraction form
    194,722.54/292,086.15 = 68,365.96/x
  3. Step 3: Cross multiply
    194,722.54x = 292,086.15 × 68,365.96
  4. Step 4: Simplify right side
    194,722.54x = 19,968,750,047.45
  5. Step 5: Solve for x
    x = 19,968,750,047.45/194,722.54
  6. Step 6: Final answer
    x = 102,549.76

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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.