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Finding the Fourth Proportional to 209,760.40, 314,640.60 and 195,763.60

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Solution

The fourth proportional to 209,760.40, 314,640.60 and 195,763.60 is: 293,645.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,760.40 : 314,640.60 = 195,763.60 : x
  2. Step 2: Convert to fraction form
    209,760.40/314,640.60 = 195,763.60/x
  3. Step 3: Cross multiply
    209,760.40x = 314,640.60 × 195,763.60
  4. Step 4: Simplify right side
    209,760.40x = 61,595,176,562.16
  5. Step 5: Solve for x
    x = 61,595,176,562.16/209,760.40
  6. Step 6: Final answer
    x = 293,645.40

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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.