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Finding the Fourth Proportional to 245,536.41, 338,843.75 and 144,934.41

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Solution

The fourth proportional to 245,536.41, 338,843.75 and 144,934.41 is: 200,011.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,536.41 : 338,843.75 = 144,934.41 : x
  2. Step 2: Convert to fraction form
    245,536.41/338,843.75 = 144,934.41/x
  3. Step 3: Cross multiply
    245,536.41x = 338,843.75 × 144,934.41
  4. Step 4: Simplify right side
    245,536.41x = 49,110,118,263.77
  5. Step 5: Solve for x
    x = 49,110,118,263.77/245,536.41
  6. Step 6: Final answer
    x = 200,011.55

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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.