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Finding the Fourth Proportional to 140,554.86, 193,843.08 and 99,638.07

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Solution

The fourth proportional to 140,554.86, 193,843.08 and 99,638.07 is: 137,413.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,554.86 : 193,843.08 = 99,638.07 : x
  2. Step 2: Convert to fraction form
    140,554.86/193,843.08 = 99,638.07/x
  3. Step 3: Cross multiply
    140,554.86x = 193,843.08 × 99,638.07
  4. Step 4: Simplify right side
    140,554.86x = 19,314,150,374.06
  5. Step 5: Solve for x
    x = 19,314,150,374.06/140,554.86
  6. Step 6: Final answer
    x = 137,413.61

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Why These Related Problems?

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