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Finding the Fourth Proportional to 122,968.86, 169,340.31 and 106,828.86

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Solution

The fourth proportional to 122,968.86, 169,340.31 and 106,828.86 is: 147,113.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    122,968.86 : 169,340.31 = 106,828.86 : x
  2. Step 2: Convert to fraction form
    122,968.86/169,340.31 = 106,828.86/x
  3. Step 3: Cross multiply
    122,968.86x = 169,340.31 × 106,828.86
  4. Step 4: Simplify right side
    122,968.86x = 18,090,432,269.35
  5. Step 5: Solve for x
    x = 18,090,432,269.35/122,968.86
  6. Step 6: Final answer
    x = 147,113.93

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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.