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Finding the Fourth Proportional to 208,907.25, 313,582.27 and 130,076.97

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Solution

The fourth proportional to 208,907.25, 313,582.27 and 130,076.97 is: 195,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,907.25 : 313,582.27 = 130,076.97 : x
  2. Step 2: Convert to fraction form
    208,907.25/313,582.27 = 130,076.97/x
  3. Step 3: Cross multiply
    208,907.25x = 313,582.27 × 130,076.97
  4. Step 4: Simplify right side
    208,907.25x = 40,789,831,527.32
  5. Step 5: Solve for x
    x = 40,789,831,527.32/208,907.25
  6. Step 6: Final answer
    x = 195,253.31

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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.