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Finding the Fourth Proportional to 257,954.50, 355,977.19 and 144,777.25

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Solution

The fourth proportional to 257,954.50, 355,977.19 and 144,777.25 is: 199,792.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,954.50 : 355,977.19 = 144,777.25 : x
  2. Step 2: Convert to fraction form
    257,954.50/355,977.19 = 144,777.25/x
  3. Step 3: Cross multiply
    257,954.50x = 355,977.19 × 144,777.25
  4. Step 4: Simplify right side
    257,954.50x = 51,537,398,630.93
  5. Step 5: Solve for x
    x = 51,537,398,630.93/257,954.50
  6. Step 6: Final answer
    x = 199,792.59

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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.