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Finding the Fourth Proportional to 257,797.69, 355,763.24 and 144,622.87

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Solution

The fourth proportional to 257,797.69, 355,763.24 and 144,622.87 is: 199,580.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,797.69 : 355,763.24 = 144,622.87 : x
  2. Step 2: Convert to fraction form
    257,797.69/355,763.24 = 144,622.87/x
  3. Step 3: Cross multiply
    257,797.69x = 355,763.24 × 144,622.87
  4. Step 4: Simplify right side
    257,797.69x = 51,451,499,739.11
  5. Step 5: Solve for x
    x = 51,451,499,739.11/257,797.69
  6. Step 6: Final answer
    x = 199,580.92

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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.