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Finding the Fourth Proportional to 201,887.80, 302,739.43 and 75,435.31

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Solution

The fourth proportional to 201,887.80, 302,739.43 and 75,435.31 is: 113,118.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    201,887.80 : 302,739.43 = 75,435.31 : x
  2. Step 2: Convert to fraction form
    201,887.80/302,739.43 = 75,435.31/x
  3. Step 3: Cross multiply
    201,887.80x = 302,739.43 × 75,435.31
  4. Step 4: Simplify right side
    201,887.80x = 22,837,242,751.27
  5. Step 5: Solve for x
    x = 22,837,242,751.27/201,887.80
  6. Step 6: Final answer
    x = 113,118.49

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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.