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Finding the Fourth Proportional to 223,838.82, 335,547.15 and 111,412.75

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Solution

The fourth proportional to 223,838.82, 335,547.15 and 111,412.75 is: 167,014.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,838.82 : 335,547.15 = 111,412.75 : x
  2. Step 2: Convert to fraction form
    223,838.82/335,547.15 = 111,412.75/x
  3. Step 3: Cross multiply
    223,838.82x = 335,547.15 × 111,412.75
  4. Step 4: Simplify right side
    223,838.82x = 37,384,230,736.16
  5. Step 5: Solve for x
    x = 37,384,230,736.16/223,838.82
  6. Step 6: Final answer
    x = 167,014.06

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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.