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Finding the Fourth Proportional to 209,410.20, 314,115.30 and 125,429.40

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Solution

The fourth proportional to 209,410.20, 314,115.30 and 125,429.40 is: 188,144.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,410.20 : 314,115.30 = 125,429.40 : x
  2. Step 2: Convert to fraction form
    209,410.20/314,115.30 = 125,429.40/x
  3. Step 3: Cross multiply
    209,410.20x = 314,115.30 × 125,429.40
  4. Step 4: Simplify right side
    209,410.20x = 39,399,293,609.82
  5. Step 5: Solve for x
    x = 39,399,293,609.82/209,410.20
  6. Step 6: Final answer
    x = 188,144.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.