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Finding the Fourth Proportional to 209,640.80, 314,173.20 and 134,530.40

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Solution

The fourth proportional to 209,640.80, 314,173.20 and 134,530.40 is: 201,610.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,640.80 : 314,173.20 = 134,530.40 : x
  2. Step 2: Convert to fraction form
    209,640.80/314,173.20 = 134,530.40/x
  3. Step 3: Cross multiply
    209,640.80x = 314,173.20 × 134,530.40
  4. Step 4: Simplify right side
    209,640.80x = 42,265,846,265.28
  5. Step 5: Solve for x
    x = 42,265,846,265.28/209,640.80
  6. Step 6: Final answer
    x = 201,610.79

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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.