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Finding the Fourth Proportional to 209,794.50, 314,741.58 and 69,553.14

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Solution

The fourth proportional to 209,794.50, 314,741.58 and 69,553.14 is: 104,346.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,794.50 : 314,741.58 = 69,553.14 : x
  2. Step 2: Convert to fraction form
    209,794.50/314,741.58 = 69,553.14/x
  3. Step 3: Cross multiply
    209,794.50x = 314,741.58 × 69,553.14
  4. Step 4: Simplify right side
    209,794.50x = 21,891,265,177.56
  5. Step 5: Solve for x
    x = 21,891,265,177.56/209,794.50
  6. Step 6: Final answer
    x = 104,346.23

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1.5x scale

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.