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Finding the Fourth Proportional to 223,769.60, 335,661.60 and 83,542.40

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Solution

The fourth proportional to 223,769.60, 335,661.60 and 83,542.40 is: 125,316.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,769.60 : 335,661.60 = 83,542.40 : x
  2. Step 2: Convert to fraction form
    223,769.60/335,661.60 = 83,542.40/x
  3. Step 3: Cross multiply
    223,769.60x = 335,661.60 × 83,542.40
  4. Step 4: Simplify right side
    223,769.60x = 28,041,975,651.84
  5. Step 5: Solve for x
    x = 28,041,975,651.84/223,769.60
  6. Step 6: Final answer
    x = 125,316.29

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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.