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Finding the Fourth Proportional to 146,494.18, 202,051.08 and 106,340.86

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Solution

The fourth proportional to 146,494.18, 202,051.08 and 106,340.86 is: 146,669.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,494.18 : 202,051.08 = 106,340.86 : x
  2. Step 2: Convert to fraction form
    146,494.18/202,051.08 = 106,340.86/x
  3. Step 3: Cross multiply
    146,494.18x = 202,051.08 × 106,340.86
  4. Step 4: Simplify right side
    146,494.18x = 21,486,285,611.13
  5. Step 5: Solve for x
    x = 21,486,285,611.13/146,494.18
  6. Step 6: Final answer
    x = 146,669.89

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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.