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Finding the Fourth Proportional to 213,993.76, 295,406.76 and 141,440.36

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Solution

The fourth proportional to 213,993.76, 295,406.76 and 141,440.36 is: 195,250.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    213,993.76 : 295,406.76 = 141,440.36 : x
  2. Step 2: Convert to fraction form
    213,993.76/295,406.76 = 141,440.36/x
  3. Step 3: Cross multiply
    213,993.76x = 295,406.76 × 141,440.36
  4. Step 4: Simplify right side
    213,993.76x = 41,782,438,480.83
  5. Step 5: Solve for x
    x = 41,782,438,480.83/213,993.76
  6. Step 6: Final answer
    x = 195,250.73

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1.5x scale

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.