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Finding the Fourth Proportional to 206,448.22, 284,957.94 and 133,848.46

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Solution

The fourth proportional to 206,448.22, 284,957.94 and 133,848.46 is: 184,749.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,448.22 : 284,957.94 = 133,848.46 : x
  2. Step 2: Convert to fraction form
    206,448.22/284,957.94 = 133,848.46/x
  3. Step 3: Cross multiply
    206,448.22x = 284,957.94 × 133,848.46
  4. Step 4: Simplify right side
    206,448.22x = 38,141,181,433.77
  5. Step 5: Solve for x
    x = 38,141,181,433.77/206,448.22
  6. Step 6: Final answer
    x = 184,749.38

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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.