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Finding the Fourth Proportional to 119,085.66, 164,327.94 and 65,370.51

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Solution

The fourth proportional to 119,085.66, 164,327.94 and 65,370.51 is: 90,205.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,085.66 : 164,327.94 = 65,370.51 : x
  2. Step 2: Convert to fraction form
    119,085.66/164,327.94 = 65,370.51/x
  3. Step 3: Cross multiply
    119,085.66x = 164,327.94 × 65,370.51
  4. Step 4: Simplify right side
    119,085.66x = 10,742,201,245.05
  5. Step 5: Solve for x
    x = 10,742,201,245.05/119,085.66
  6. Step 6: Final answer
    x = 90,205.67

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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.