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Finding the Fourth Proportional to 106,237.96, 146,413.10 and 99,496.52

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Solution

The fourth proportional to 106,237.96, 146,413.10 and 99,496.52 is: 137,122.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,237.96 : 146,413.10 = 99,496.52 : x
  2. Step 2: Convert to fraction form
    106,237.96/146,413.10 = 99,496.52/x
  3. Step 3: Cross multiply
    106,237.96x = 146,413.10 × 99,496.52
  4. Step 4: Simplify right side
    106,237.96x = 14,567,593,932.41
  5. Step 5: Solve for x
    x = 14,567,593,932.41/106,237.96
  6. Step 6: Final answer
    x = 137,122.30

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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.