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Finding the Fourth Proportional to 200,597.33, 299,102.60 and 195,086.09

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Solution

The fourth proportional to 200,597.33, 299,102.60 and 195,086.09 is: 290,885.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,597.33 : 299,102.60 = 195,086.09 : x
  2. Step 2: Convert to fraction form
    200,597.33/299,102.60 = 195,086.09/x
  3. Step 3: Cross multiply
    200,597.33x = 299,102.60 × 195,086.09
  4. Step 4: Simplify right side
    200,597.33x = 58,350,756,742.83
  5. Step 5: Solve for x
    x = 58,350,756,742.83/200,597.33
  6. Step 6: Final answer
    x = 290,885.01

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.