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Finding the Fourth Proportional to 119,683.22, 165,163.98 and 65,970.32

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Solution

The fourth proportional to 119,683.22, 165,163.98 and 65,970.32 is: 91,039.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,683.22 : 165,163.98 = 65,970.32 : x
  2. Step 2: Convert to fraction form
    119,683.22/165,163.98 = 65,970.32/x
  3. Step 3: Cross multiply
    119,683.22x = 165,163.98 × 65,970.32
  4. Step 4: Simplify right side
    119,683.22x = 10,895,920,613.07
  5. Step 5: Solve for x
    x = 10,895,920,613.07/119,683.22
  6. Step 6: Final answer
    x = 91,039.67

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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.