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Finding the Fourth Proportional to 245,536.16, 338,843.40 and 144,934.16

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Solution

The fourth proportional to 245,536.16, 338,843.40 and 144,934.16 is: 200,011.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,536.16 : 338,843.40 = 144,934.16 : x
  2. Step 2: Convert to fraction form
    245,536.16/338,843.40 = 144,934.16/x
  3. Step 3: Cross multiply
    245,536.16x = 338,843.40 × 144,934.16
  4. Step 4: Simplify right side
    245,536.16x = 49,109,983,550.54
  5. Step 5: Solve for x
    x = 49,109,983,550.54/245,536.16
  6. Step 6: Final answer
    x = 200,011.21

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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.