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Finding the Fourth Proportional to 119,083.15, 164,340.66 and 65,367.73

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Solution

The fourth proportional to 119,083.15, 164,340.66 and 65,367.73 is: 90,210.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,083.15 : 164,340.66 = 65,367.73 : x
  2. Step 2: Convert to fraction form
    119,083.15/164,340.66 = 65,367.73/x
  3. Step 3: Cross multiply
    119,083.15x = 164,340.66 × 65,367.73
  4. Step 4: Simplify right side
    119,083.15x = 10,742,575,890.90
  5. Step 5: Solve for x
    x = 10,742,575,890.90/119,083.15
  6. Step 6: Final answer
    x = 90,210.71

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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.