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Finding the Fourth Proportional to 209,500.20, 313,904.70 and 178,396.20

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Solution

The fourth proportional to 209,500.20, 313,904.70 and 178,396.20 is: 267,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,500.20 : 313,904.70 = 178,396.20 : x
  2. Step 2: Convert to fraction form
    209,500.20/313,904.70 = 178,396.20/x
  3. Step 3: Cross multiply
    209,500.20x = 313,904.70 × 178,396.20
  4. Step 4: Simplify right side
    209,500.20x = 55,999,405,642.14
  5. Step 5: Solve for x
    x = 55,999,405,642.14/209,500.20
  6. Step 6: Final answer
    x = 267,300.01

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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.