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Finding the Fourth Proportional to 223,842.30, 335,552.40 and 111,416.28

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Solution

The fourth proportional to 223,842.30, 335,552.40 and 111,416.28 is: 167,019.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,842.30 : 335,552.40 = 111,416.28 : x
  2. Step 2: Convert to fraction form
    223,842.30/335,552.40 = 111,416.28/x
  3. Step 3: Cross multiply
    223,842.30x = 335,552.40 × 111,416.28
  4. Step 4: Simplify right side
    223,842.30x = 37,386,000,153.07
  5. Step 5: Solve for x
    x = 37,386,000,153.07/223,842.30
  6. Step 6: Final answer
    x = 167,019.37

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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.