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Finding the Fourth Proportional to 209,673.64, 314,362.20 and 67,474.92

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Solution

The fourth proportional to 209,673.64, 314,362.20 and 67,474.92 is: 101,164.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,673.64 : 314,362.20 = 67,474.92 : x
  2. Step 2: Convert to fraction form
    209,673.64/314,362.20 = 67,474.92/x
  3. Step 3: Cross multiply
    209,673.64x = 314,362.20 × 67,474.92
  4. Step 4: Simplify right side
    209,673.64x = 21,211,564,296.02
  5. Step 5: Solve for x
    x = 21,211,564,296.02/209,673.64
  6. Step 6: Final answer
    x = 101,164.67

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.