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Finding the Fourth Proportional to 193,696.56, 290,559.96 and 75,358.80

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Solution

The fourth proportional to 193,696.56, 290,559.96 and 75,358.80 is: 113,044.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    193,696.56 : 290,559.96 = 75,358.80 : x
  2. Step 2: Convert to fraction form
    193,696.56/290,559.96 = 75,358.80/x
  3. Step 3: Cross multiply
    193,696.56x = 290,559.96 × 75,358.80
  4. Step 4: Simplify right side
    193,696.56x = 21,896,249,913.65
  5. Step 5: Solve for x
    x = 21,896,249,913.65/193,696.56
  6. Step 6: Final answer
    x = 113,044.08

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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.