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Finding the Fourth Proportional to 223,755.69, 335,781.20 and 105,460.86

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Solution

The fourth proportional to 223,755.69, 335,781.20 and 105,460.86 is: 158,260.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,755.69 : 335,781.20 = 105,460.86 : x
  2. Step 2: Convert to fraction form
    223,755.69/335,781.20 = 105,460.86/x
  3. Step 3: Cross multiply
    223,755.69x = 335,781.20 × 105,460.86
  4. Step 4: Simplify right side
    223,755.69x = 35,411,774,123.83
  5. Step 5: Solve for x
    x = 35,411,774,123.83/223,755.69
  6. Step 6: Final answer
    x = 158,260.89

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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.