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Finding the Fourth Proportional to 355,172.24, 490,171.50 and 194,051.50

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Solution

The fourth proportional to 355,172.24, 490,171.50 and 194,051.50 is: 267,809.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,172.24 : 490,171.50 = 194,051.50 : x
  2. Step 2: Convert to fraction form
    355,172.24/490,171.50 = 194,051.50/x
  3. Step 3: Cross multiply
    355,172.24x = 490,171.50 × 194,051.50
  4. Step 4: Simplify right side
    355,172.24x = 95,118,513,606.82
  5. Step 5: Solve for x
    x = 95,118,513,606.82/355,172.24
  6. Step 6: Final answer
    x = 267,809.54

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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.