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Finding the Fourth Proportional to 169,382.43, 233,161.05 and 146,401.77

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Solution

The fourth proportional to 169,382.43, 233,161.05 and 146,401.77 is: 201,527.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    169,382.43 : 233,161.05 = 146,401.77 : x
  2. Step 2: Convert to fraction form
    169,382.43/233,161.05 = 146,401.77/x
  3. Step 3: Cross multiply
    169,382.43x = 233,161.05 × 146,401.77
  4. Step 4: Simplify right side
    169,382.43x = 34,135,190,415.06
  5. Step 5: Solve for x
    x = 34,135,190,415.06/169,382.43
  6. Step 6: Final answer
    x = 201,527.34

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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.