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Finding the Fourth Proportional to 257,963.50, 355,970.11 and 144,764.38

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Solution

The fourth proportional to 257,963.50, 355,970.11 and 144,764.38 is: 199,763.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,963.50 : 355,970.11 = 144,764.38 : x
  2. Step 2: Convert to fraction form
    257,963.50/355,970.11 = 144,764.38/x
  3. Step 3: Cross multiply
    257,963.50x = 355,970.11 × 144,764.38
  4. Step 4: Simplify right side
    257,963.50x = 51,531,789,769.01
  5. Step 5: Solve for x
    x = 51,531,789,769.01/257,963.50
  6. Step 6: Final answer
    x = 199,763.88

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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.