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Finding the Fourth Proportional to 223,892.74, 335,827.77 and 83,640.34

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Solution

The fourth proportional to 223,892.74, 335,827.77 and 83,640.34 is: 125,456.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,892.74 : 335,827.77 = 83,640.34 : x
  2. Step 2: Convert to fraction form
    223,892.74/335,827.77 = 83,640.34/x
  3. Step 3: Cross multiply
    223,892.74x = 335,827.77 × 83,640.34
  4. Step 4: Simplify right side
    223,892.74x = 28,088,748,864.24
  5. Step 5: Solve for x
    x = 28,088,748,864.24/223,892.74
  6. Step 6: Final answer
    x = 125,456.27

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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.