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Finding the Fourth Proportional to 223,842.45, 335,552.59 and 111,416.38

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Solution

The fourth proportional to 223,842.45, 335,552.59 and 111,416.38 is: 167,019.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,842.45 : 335,552.59 = 111,416.38 : x
  2. Step 2: Convert to fraction form
    223,842.45/335,552.59 = 111,416.38/x
  3. Step 3: Cross multiply
    223,842.45x = 335,552.59 × 111,416.38
  4. Step 4: Simplify right side
    223,842.45x = 37,386,054,177.81
  5. Step 5: Solve for x
    x = 37,386,054,177.81/223,842.45
  6. Step 6: Final answer
    x = 167,019.50

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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.