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Finding the Fourth Proportional to 119,268.60, 164,606.24 and 76,950.24

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Solution

The fourth proportional to 119,268.60, 164,606.24 and 76,950.24 is: 106,201.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,268.60 : 164,606.24 = 76,950.24 : x
  2. Step 2: Convert to fraction form
    119,268.60/164,606.24 = 76,950.24/x
  3. Step 3: Cross multiply
    119,268.60x = 164,606.24 × 76,950.24
  4. Step 4: Simplify right side
    119,268.60x = 12,666,489,673.50
  5. Step 5: Solve for x
    x = 12,666,489,673.50/119,268.60
  6. Step 6: Final answer
    x = 106,201.38

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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.