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Finding the Fourth Proportional to 286,009.38, 394,689.41 and 155,185.07

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Solution

The fourth proportional to 286,009.38, 394,689.41 and 155,185.07 is: 214,153.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,009.38 : 394,689.41 = 155,185.07 : x
  2. Step 2: Convert to fraction form
    286,009.38/394,689.41 = 155,185.07/x
  3. Step 3: Cross multiply
    286,009.38x = 394,689.41 × 155,185.07
  4. Step 4: Simplify right side
    286,009.38x = 61,249,901,551.68
  5. Step 5: Solve for x
    x = 61,249,901,551.68/286,009.38
  6. Step 6: Final answer
    x = 214,153.47

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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.