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Finding the Fourth Proportional to 119,473.86, 164,847.43 and 69,143.70

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Solution

The fourth proportional to 119,473.86, 164,847.43 and 69,143.70 is: 95,402.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,473.86 : 164,847.43 = 69,143.70 : x
  2. Step 2: Convert to fraction form
    119,473.86/164,847.43 = 69,143.70/x
  3. Step 3: Cross multiply
    119,473.86x = 164,847.43 × 69,143.70
  4. Step 4: Simplify right side
    119,473.86x = 11,398,161,245.69
  5. Step 5: Solve for x
    x = 11,398,161,245.69/119,473.86
  6. Step 6: Final answer
    x = 95,402.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.