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Finding the Fourth Proportional to 206,335.77, 284,802.87 and 133,736.19

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Solution

The fourth proportional to 206,335.77, 284,802.87 and 133,736.19 is: 184,594.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,335.77 : 284,802.87 = 133,736.19 : x
  2. Step 2: Convert to fraction form
    206,335.77/284,802.87 = 133,736.19/x
  3. Step 3: Cross multiply
    206,335.77x = 284,802.87 × 133,736.19
  4. Step 4: Simplify right side
    206,335.77x = 38,088,450,734.87
  5. Step 5: Solve for x
    x = 38,088,450,734.87/206,335.77
  6. Step 6: Final answer
    x = 184,594.51

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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.