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Finding the Fourth Proportional to 227,033.37, 312,978.74 and 158,839.07

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Solution

The fourth proportional to 227,033.37, 312,978.74 and 158,839.07 is: 218,968.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    227,033.37 : 312,978.74 = 158,839.07 : x
  2. Step 2: Convert to fraction form
    227,033.37/312,978.74 = 158,839.07/x
  3. Step 3: Cross multiply
    227,033.37x = 312,978.74 × 158,839.07
  4. Step 4: Simplify right side
    227,033.37x = 49,713,249,632.28
  5. Step 5: Solve for x
    x = 49,713,249,632.28/227,033.37
  6. Step 6: Final answer
    x = 218,968.91

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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.