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Finding the Fourth Proportional to 355,108.86, 490,047.32 and 193,964.01

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Solution

The fourth proportional to 355,108.86, 490,047.32 and 193,964.01 is: 267,668.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,108.86 : 490,047.32 = 193,964.01 : x
  2. Step 2: Convert to fraction form
    355,108.86/490,047.32 = 193,964.01/x
  3. Step 3: Cross multiply
    355,108.86x = 490,047.32 × 193,964.01
  4. Step 4: Simplify right side
    355,108.86x = 95,051,542,307.13
  5. Step 5: Solve for x
    x = 95,051,542,307.13/355,108.86
  6. Step 6: Final answer
    x = 267,668.74

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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.