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Finding the Fourth Proportional to 200,723.02, 301,135.16 and 141,674.02

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Solution

The fourth proportional to 200,723.02, 301,135.16 and 141,674.02 is: 212,546.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,723.02 : 301,135.16 = 141,674.02 : x
  2. Step 2: Convert to fraction form
    200,723.02/301,135.16 = 141,674.02/x
  3. Step 3: Cross multiply
    200,723.02x = 301,135.16 × 141,674.02
  4. Step 4: Simplify right side
    200,723.02x = 42,663,028,680.54
  5. Step 5: Solve for x
    x = 42,663,028,680.54/200,723.02
  6. Step 6: Final answer
    x = 212,546.77

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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.