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Finding the Fourth Proportional to 209,999.80, 314,999.70 and 135,204.40

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Solution

The fourth proportional to 209,999.80, 314,999.70 and 135,204.40 is: 202,806.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,999.80 : 314,999.70 = 135,204.40 : x
  2. Step 2: Convert to fraction form
    209,999.80/314,999.70 = 135,204.40/x
  3. Step 3: Cross multiply
    209,999.80x = 314,999.70 × 135,204.40
  4. Step 4: Simplify right side
    209,999.80x = 42,589,345,438.68
  5. Step 5: Solve for x
    x = 42,589,345,438.68/209,999.80
  6. Step 6: Final answer
    x = 202,806.60

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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.