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Finding the Fourth Proportional to 209,464.40, 314,196.60 and 162,750.80

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Solution

The fourth proportional to 209,464.40, 314,196.60 and 162,750.80 is: 244,126.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,464.40 : 314,196.60 = 162,750.80 : x
  2. Step 2: Convert to fraction form
    209,464.40/314,196.60 = 162,750.80/x
  3. Step 3: Cross multiply
    209,464.40x = 314,196.60 × 162,750.80
  4. Step 4: Simplify right side
    209,464.40x = 51,135,748,007.28
  5. Step 5: Solve for x
    x = 51,135,748,007.28/209,464.40
  6. Step 6: Final answer
    x = 244,126.20

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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.