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Finding the Fourth Proportional to 255,540.57, 352,641.23 and 140,829.84

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Solution

The fourth proportional to 255,540.57, 352,641.23 and 140,829.84 is: 194,342.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,540.57 : 352,641.23 = 140,829.84 : x
  2. Step 2: Convert to fraction form
    255,540.57/352,641.23 = 140,829.84/x
  3. Step 3: Cross multiply
    255,540.57x = 352,641.23 × 140,829.84
  4. Step 4: Simplify right side
    255,540.57x = 49,662,405,530.95
  5. Step 5: Solve for x
    x = 49,662,405,530.95/255,540.57
  6. Step 6: Final answer
    x = 194,342.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.