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Finding the Fourth Proportional to 269,762.72, 372,412.46 and 197,084

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Solution

The fourth proportional to 269,762.72, 372,412.46 and 197,084 is: 272,078.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,762.72 : 372,412.46 = 197,084 : x
  2. Step 2: Convert to fraction form
    269,762.72/372,412.46 = 197,084/x
  3. Step 3: Cross multiply
    269,762.72x = 372,412.46 × 197,084
  4. Step 4: Simplify right side
    269,762.72x = 73,396,537,266.64
  5. Step 5: Solve for x
    x = 73,396,537,266.64/269,762.72
  6. Step 6: Final answer
    x = 272,078.13

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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.