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Finding the Fourth Proportional to 209,483.12, 314,273.88 and 69,241.73

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Solution

The fourth proportional to 209,483.12, 314,273.88 and 69,241.73 is: 103,878.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,483.12 : 314,273.88 = 69,241.73 : x
  2. Step 2: Convert to fraction form
    209,483.12/314,273.88 = 69,241.73/x
  3. Step 3: Cross multiply
    209,483.12x = 314,273.88 × 69,241.73
  4. Step 4: Simplify right side
    209,483.12x = 21,760,867,145.01
  5. Step 5: Solve for x
    x = 21,760,867,145.01/209,483.12
  6. Step 6: Final answer
    x = 103,878.86

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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.