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Finding the Fourth Proportional to 255,782.80, 352,969.32 and 142,604.56

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Solution

The fourth proportional to 255,782.80, 352,969.32 and 142,604.56 is: 196,788.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,782.80 : 352,969.32 = 142,604.56 : x
  2. Step 2: Convert to fraction form
    255,782.80/352,969.32 = 142,604.56/x
  3. Step 3: Cross multiply
    255,782.80x = 352,969.32 × 142,604.56
  4. Step 4: Simplify right side
    255,782.80x = 50,335,034,572.10
  5. Step 5: Solve for x
    x = 50,335,034,572.10/255,782.80
  6. Step 6: Final answer
    x = 196,788.19

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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.