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Finding the Fourth Proportional to 183,321.90, 252,980.01 and 106,836.12

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Solution

The fourth proportional to 183,321.90, 252,980.01 and 106,836.12 is: 147,431.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    183,321.90 : 252,980.01 = 106,836.12 : x
  2. Step 2: Convert to fraction form
    183,321.90/252,980.01 = 106,836.12/x
  3. Step 3: Cross multiply
    183,321.90x = 252,980.01 × 106,836.12
  4. Step 4: Simplify right side
    183,321.90x = 27,027,402,705.96
  5. Step 5: Solve for x
    x = 27,027,402,705.96/183,321.90
  6. Step 6: Final answer
    x = 147,431.39

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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.