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Finding the Fourth Proportional to 257,954.85, 355,977.69 and 144,777.60

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Solution

The fourth proportional to 257,954.85, 355,977.69 and 144,777.60 is: 199,793.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,954.85 : 355,977.69 = 144,777.60 : x
  2. Step 2: Convert to fraction form
    257,954.85/355,977.69 = 144,777.60/x
  3. Step 3: Cross multiply
    257,954.85x = 355,977.69 × 144,777.60
  4. Step 4: Simplify right side
    257,954.85x = 51,537,595,611.74
  5. Step 5: Solve for x
    x = 51,537,595,611.74/257,954.85
  6. Step 6: Final answer
    x = 199,793.09

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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.