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Finding the Fourth Proportional to 199,377.84, 299,082.96 and 59,136.06

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Solution

The fourth proportional to 199,377.84, 299,082.96 and 59,136.06 is: 88,708.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,377.84 : 299,082.96 = 59,136.06 : x
  2. Step 2: Convert to fraction form
    199,377.84/299,082.96 = 59,136.06/x
  3. Step 3: Cross multiply
    199,377.84x = 299,082.96 × 59,136.06
  4. Step 4: Simplify right side
    199,377.84x = 17,686,587,867.54
  5. Step 5: Solve for x
    x = 17,686,587,867.54/199,377.84
  6. Step 6: Final answer
    x = 88,708.89

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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.