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Finding the Fourth Proportional to 355,193.53, 490,200.84 and 194,072.77

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Solution

The fourth proportional to 355,193.53, 490,200.84 and 194,072.77 is: 267,838.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,193.53 : 490,200.84 = 194,072.77 : x
  2. Step 2: Convert to fraction form
    355,193.53/490,200.84 = 194,072.77/x
  3. Step 3: Cross multiply
    355,193.53x = 490,200.84 × 194,072.77
  4. Step 4: Simplify right side
    355,193.53x = 95,134,634,875.13
  5. Step 5: Solve for x
    x = 95,134,634,875.13/355,193.53
  6. Step 6: Final answer
    x = 267,838.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.