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Finding the Fourth Proportional to 263,784.96, 395,701.92 and 95,347.44

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Solution

The fourth proportional to 263,784.96, 395,701.92 and 95,347.44 is: 143,030.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,784.96 : 395,701.92 = 95,347.44 : x
  2. Step 2: Convert to fraction form
    263,784.96/395,701.92 = 95,347.44/x
  3. Step 3: Cross multiply
    263,784.96x = 395,701.92 × 95,347.44
  4. Step 4: Simplify right side
    263,784.96x = 37,729,165,075.08
  5. Step 5: Solve for x
    x = 37,729,165,075.08/263,784.96
  6. Step 6: Final answer
    x = 143,030.01

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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.