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Finding the Fourth Proportional to 223,769.60, 335,654.40 and 105,401.60

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Solution

The fourth proportional to 223,769.60, 335,654.40 and 105,401.60 is: 158,102.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,769.60 : 335,654.40 = 105,401.60 : x
  2. Step 2: Convert to fraction form
    223,769.60/335,654.40 = 105,401.60/x
  3. Step 3: Cross multiply
    223,769.60x = 335,654.40 × 105,401.60
  4. Step 4: Simplify right side
    223,769.60x = 35,378,510,807.04
  5. Step 5: Solve for x
    x = 35,378,510,807.04/223,769.60
  6. Step 6: Final answer
    x = 158,102.40

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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.