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Finding the Fourth Proportional to 199,768.56, 299,696.04 and 59,538.48

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Solution

The fourth proportional to 199,768.56, 299,696.04 and 59,538.48 is: 89,320.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,768.56 : 299,696.04 = 59,538.48 : x
  2. Step 2: Convert to fraction form
    199,768.56/299,696.04 = 59,538.48/x
  3. Step 3: Cross multiply
    199,768.56x = 299,696.04 × 59,538.48
  4. Step 4: Simplify right side
    199,768.56x = 17,843,446,683.62
  5. Step 5: Solve for x
    x = 17,843,446,683.62/199,768.56
  6. Step 6: Final answer
    x = 89,320.60

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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.