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Finding the Fourth Proportional to 263,807.40, 395,606.88 and 83,828.10

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Solution

The fourth proportional to 263,807.40, 395,606.88 and 83,828.10 is: 125,709.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,807.40 : 395,606.88 = 83,828.10 : x
  2. Step 2: Convert to fraction form
    263,807.40/395,606.88 = 83,828.10/x
  3. Step 3: Cross multiply
    263,807.40x = 395,606.88 × 83,828.10
  4. Step 4: Simplify right side
    263,807.40x = 33,162,973,097.33
  5. Step 5: Solve for x
    x = 33,162,973,097.33/263,807.40
  6. Step 6: Final answer
    x = 125,709.03

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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.