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Finding the Fourth Proportional to 200,402.01, 300,602.07 and 50,642.64

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Solution

The fourth proportional to 200,402.01, 300,602.07 and 50,642.64 is: 75,963.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,402.01 : 300,602.07 = 50,642.64 : x
  2. Step 2: Convert to fraction form
    200,402.01/300,602.07 = 50,642.64/x
  3. Step 3: Cross multiply
    200,402.01x = 300,602.07 × 50,642.64
  4. Step 4: Simplify right side
    200,402.01x = 15,223,282,414.26
  5. Step 5: Solve for x
    x = 15,223,282,414.26/200,402.01
  6. Step 6: Final answer
    x = 75,963.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.