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Finding the Fourth Proportional to 209,907.20, 315,475.20 and 182,873.60

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Solution

The fourth proportional to 209,907.20, 315,475.20 and 182,873.60 is: 274,845.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,907.20 : 315,475.20 = 182,873.60 : x
  2. Step 2: Convert to fraction form
    209,907.20/315,475.20 = 182,873.60/x
  3. Step 3: Cross multiply
    209,907.20x = 315,475.20 × 182,873.60
  4. Step 4: Simplify right side
    209,907.20x = 57,692,085,534.72
  5. Step 5: Solve for x
    x = 57,692,085,534.72/209,907.20
  6. Step 6: Final answer
    x = 274,845.67

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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.