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Finding the Fourth Proportional to 265,027.98, 397,544.13 and 96,668.94

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Solution

The fourth proportional to 265,027.98, 397,544.13 and 96,668.94 is: 145,004.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,027.98 : 397,544.13 = 96,668.94 : x
  2. Step 2: Convert to fraction form
    265,027.98/397,544.13 = 96,668.94/x
  3. Step 3: Cross multiply
    265,027.98x = 397,544.13 × 96,668.94
  4. Step 4: Simplify right side
    265,027.98x = 38,430,169,650.32
  5. Step 5: Solve for x
    x = 38,430,169,650.32/265,027.98
  6. Step 6: Final answer
    x = 145,004.20

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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.