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Finding the Fourth Proportional to 223,624.06, 335,441.76 and 65,857.93

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Solution

The fourth proportional to 223,624.06, 335,441.76 and 65,857.93 is: 98,788.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,624.06 : 335,441.76 = 65,857.93 : x
  2. Step 2: Convert to fraction form
    223,624.06/335,441.76 = 65,857.93/x
  3. Step 3: Cross multiply
    223,624.06x = 335,441.76 × 65,857.93
  4. Step 4: Simplify right side
    223,624.06x = 22,091,499,949.16
  5. Step 5: Solve for x
    x = 22,091,499,949.16/223,624.06
  6. Step 6: Final answer
    x = 98,788.56

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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.