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Finding the Fourth Proportional to 175,442.94, 263,208.25 and 50,783.94

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Solution

The fourth proportional to 175,442.94, 263,208.25 and 50,783.94 is: 76,188.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    175,442.94 : 263,208.25 = 50,783.94 : x
  2. Step 2: Convert to fraction form
    175,442.94/263,208.25 = 50,783.94/x
  3. Step 3: Cross multiply
    175,442.94x = 263,208.25 × 50,783.94
  4. Step 4: Simplify right side
    175,442.94x = 13,366,751,975.51
  5. Step 5: Solve for x
    x = 13,366,751,975.51/175,442.94
  6. Step 6: Final answer
    x = 76,188.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.