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Finding the Fourth Proportional to 200,063.53, 299,762.11 and 140,774.64

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Solution

The fourth proportional to 200,063.53, 299,762.11 and 140,774.64 is: 210,927.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,063.53 : 299,762.11 = 140,774.64 : x
  2. Step 2: Convert to fraction form
    200,063.53/299,762.11 = 140,774.64/x
  3. Step 3: Cross multiply
    200,063.53x = 299,762.11 × 140,774.64
  4. Step 4: Simplify right side
    200,063.53x = 42,198,902,371.49
  5. Step 5: Solve for x
    x = 42,198,902,371.49/200,063.53
  6. Step 6: Final answer
    x = 210,927.51

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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.