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Finding the Fourth Proportional to 257,198.48, 354,940.20 and 144,044.24

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Solution

The fourth proportional to 257,198.48, 354,940.20 and 144,044.24 is: 198,784.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,198.48 : 354,940.20 = 144,044.24 : x
  2. Step 2: Convert to fraction form
    257,198.48/354,940.20 = 144,044.24/x
  3. Step 3: Cross multiply
    257,198.48x = 354,940.20 × 144,044.24
  4. Step 4: Simplify right side
    257,198.48x = 51,127,091,354.45
  5. Step 5: Solve for x
    x = 51,127,091,354.45/257,198.48
  6. Step 6: Final answer
    x = 198,784.58

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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.