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Finding the Fourth Proportional to 223,208.60, 335,033.42 and 116,698.05

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Solution

The fourth proportional to 223,208.60, 335,033.42 and 116,698.05 is: 175,162.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,208.60 : 335,033.42 = 116,698.05 : x
  2. Step 2: Convert to fraction form
    223,208.60/335,033.42 = 116,698.05/x
  3. Step 3: Cross multiply
    223,208.60x = 335,033.42 × 116,698.05
  4. Step 4: Simplify right side
    223,208.60x = 39,097,746,215.34
  5. Step 5: Solve for x
    x = 39,097,746,215.34/223,208.60
  6. Step 6: Final answer
    x = 175,162.37

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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.