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Finding the Fourth Proportional to 197,851.56, 296,774.75 and 48,091.42

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Solution

The fourth proportional to 197,851.56, 296,774.75 and 48,091.42 is: 72,136.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,851.56 : 296,774.75 = 48,091.42 : x
  2. Step 2: Convert to fraction form
    197,851.56/296,774.75 = 48,091.42/x
  3. Step 3: Cross multiply
    197,851.56x = 296,774.75 × 48,091.42
  4. Step 4: Simplify right side
    197,851.56x = 14,272,319,147.65
  5. Step 5: Solve for x
    x = 14,272,319,147.65/197,851.56
  6. Step 6: Final answer
    x = 72,136.50

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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.