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Finding the Fourth Proportional to 236,032.25, 354,357.01 and 140,144.48

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Solution

The fourth proportional to 236,032.25, 354,357.01 and 140,144.48 is: 210,399.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,032.25 : 354,357.01 = 140,144.48 : x
  2. Step 2: Convert to fraction form
    236,032.25/354,357.01 = 140,144.48/x
  3. Step 3: Cross multiply
    236,032.25x = 354,357.01 × 140,144.48
  4. Step 4: Simplify right side
    236,032.25x = 49,661,178,633.04
  5. Step 5: Solve for x
    x = 49,661,178,633.04/236,032.25
  6. Step 6: Final answer
    x = 210,399.98

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