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Finding the Fourth Proportional to 223,918.72, 335,965.62 and 83,644.60

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Solution

The fourth proportional to 223,918.72, 335,965.62 and 83,644.60 is: 125,499.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,918.72 : 335,965.62 = 83,644.60 : x
  2. Step 2: Convert to fraction form
    223,918.72/335,965.62 = 83,644.60/x
  3. Step 3: Cross multiply
    223,918.72x = 335,965.62 × 83,644.60
  4. Step 4: Simplify right side
    223,918.72x = 28,101,709,898.65
  5. Step 5: Solve for x
    x = 28,101,709,898.65/223,918.72
  6. Step 6: Final answer
    x = 125,499.60

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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.