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Finding the Fourth Proportional to 235,640.42, 353,416.73 and 75,719.13

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Solution

The fourth proportional to 235,640.42, 353,416.73 and 75,719.13 is: 113,564.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    235,640.42 : 353,416.73 = 75,719.13 : x
  2. Step 2: Convert to fraction form
    235,640.42/353,416.73 = 75,719.13/x
  3. Step 3: Cross multiply
    235,640.42x = 353,416.73 × 75,719.13
  4. Step 4: Simplify right side
    235,640.42x = 26,760,405,619.14
  5. Step 5: Solve for x
    x = 26,760,405,619.14/235,640.42
  6. Step 6: Final answer
    x = 113,564.58

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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.