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Finding the Fourth Proportional to 119,024.83, 164,179.47 and 83,201.77

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Solution

The fourth proportional to 119,024.83, 164,179.47 and 83,201.77 is: 114,766.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,024.83 : 164,179.47 = 83,201.77 : x
  2. Step 2: Convert to fraction form
    119,024.83/164,179.47 = 83,201.77/x
  3. Step 3: Cross multiply
    119,024.83x = 164,179.47 × 83,201.77
  4. Step 4: Simplify right side
    119,024.83x = 13,660,022,501.66
  5. Step 5: Solve for x
    x = 13,660,022,501.66/119,024.83
  6. Step 6: Final answer
    x = 114,766.16

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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.