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Finding the Fourth Proportional to 257,618.85, 355,441.26 and 166,978.63

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Solution

The fourth proportional to 257,618.85, 355,441.26 and 166,978.63 is: 230,383.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,618.85 : 355,441.26 = 166,978.63 : x
  2. Step 2: Convert to fraction form
    257,618.85/355,441.26 = 166,978.63/x
  3. Step 3: Cross multiply
    257,618.85x = 355,441.26 × 166,978.63
  4. Step 4: Simplify right side
    257,618.85x = 59,351,094,640.27
  5. Step 5: Solve for x
    x = 59,351,094,640.27/257,618.85
  6. Step 6: Final answer
    x = 230,383.35

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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.