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Finding the Fourth Proportional to 223,811.73, 335,736 and 97,456.14

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Solution

The fourth proportional to 223,811.73, 335,736 and 97,456.14 is: 146,192.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,811.73 : 335,736 = 97,456.14 : x
  2. Step 2: Convert to fraction form
    223,811.73/335,736 = 97,456.14/x
  3. Step 3: Cross multiply
    223,811.73x = 335,736 × 97,456.14
  4. Step 4: Simplify right side
    223,811.73x = 32,719,534,619.04
  5. Step 5: Solve for x
    x = 32,719,534,619.04/223,811.73
  6. Step 6: Final answer
    x = 146,192.22

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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.