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Finding the Fourth Proportional to 194,352.48, 291,353.76 and 69,606

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Solution

The fourth proportional to 194,352.48, 291,353.76 and 69,606 is: 104,346.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    194,352.48 : 291,353.76 = 69,606 : x
  2. Step 2: Convert to fraction form
    194,352.48/291,353.76 = 69,606/x
  3. Step 3: Cross multiply
    194,352.48x = 291,353.76 × 69,606
  4. Step 4: Simplify right side
    194,352.48x = 20,279,969,818.56
  5. Step 5: Solve for x
    x = 20,279,969,818.56/194,352.48
  6. Step 6: Final answer
    x = 104,346.34

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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.