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Finding the Fourth Proportional to 257,959.69, 356,018.09 and 144,782.44

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Solution

The fourth proportional to 257,959.69, 356,018.09 and 144,782.44 is: 199,818.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,959.69 : 356,018.09 = 144,782.44 : x
  2. Step 2: Convert to fraction form
    257,959.69/356,018.09 = 144,782.44/x
  3. Step 3: Cross multiply
    257,959.69x = 356,018.09 × 144,782.44
  4. Step 4: Simplify right side
    257,959.69x = 51,545,166,140.38
  5. Step 5: Solve for x
    x = 51,545,166,140.38/257,959.69
  6. Step 6: Final answer
    x = 199,818.69

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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.