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Finding the Fourth Proportional to 119,050.70, 164,293.94 and 65,338.67

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Solution

The fourth proportional to 119,050.70, 164,293.94 and 65,338.67 is: 90,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,050.70 : 164,293.94 = 65,338.67 : x
  2. Step 2: Convert to fraction form
    119,050.70/164,293.94 = 65,338.67/x
  3. Step 3: Cross multiply
    119,050.70x = 164,293.94 × 65,338.67
  4. Step 4: Simplify right side
    119,050.70x = 10,734,748,102.74
  5. Step 5: Solve for x
    x = 10,734,748,102.74/119,050.70
  6. Step 6: Final answer
    x = 90,169.55

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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.