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Finding the Fourth Proportional to 149,464.20, 209,405.40 and 149,464.20

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Solution

The fourth proportional to 149,464.20, 209,405.40 and 149,464.20 is: 209,405.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,464.20 : 209,405.40 = 149,464.20 : x
  2. Step 2: Convert to fraction form
    149,464.20/209,405.40 = 149,464.20/x
  3. Step 3: Cross multiply
    149,464.20x = 209,405.40 × 149,464.20
  4. Step 4: Simplify right side
    149,464.20x = 31,298,610,586.68
  5. Step 5: Solve for x
    x = 31,298,610,586.68/149,464.20
  6. Step 6: Final answer
    x = 209,405.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.