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Finding the Fourth Proportional to 200,063.75, 299,762.44 and 140,774.86

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Solution

The fourth proportional to 200,063.75, 299,762.44 and 140,774.86 is: 210,927.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,063.75 : 299,762.44 = 140,774.86 : x
  2. Step 2: Convert to fraction form
    200,063.75/299,762.44 = 140,774.86/x
  3. Step 3: Cross multiply
    200,063.75x = 299,762.44 × 140,774.86
  4. Step 4: Simplify right side
    200,063.75x = 42,199,015,524.26
  5. Step 5: Solve for x
    x = 42,199,015,524.26/200,063.75
  6. Step 6: Final answer
    x = 210,927.84

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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.