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Finding the Fourth Proportional to 355,109.81, 490,050.99 and 193,964.86

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Solution

The fourth proportional to 355,109.81, 490,050.99 and 193,964.86 is: 267,671.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,109.81 : 490,050.99 = 193,964.86 : x
  2. Step 2: Convert to fraction form
    355,109.81/490,050.99 = 193,964.86/x
  3. Step 3: Cross multiply
    355,109.81x = 490,050.99 × 193,964.86
  4. Step 4: Simplify right side
    355,109.81x = 95,052,671,668.21
  5. Step 5: Solve for x
    x = 95,052,671,668.21/355,109.81
  6. Step 6: Final answer
    x = 267,671.21

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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.