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Finding the Fourth Proportional to 209,920.20, 314,661.60 and 115,004.40

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Solution

The fourth proportional to 209,920.20, 314,661.60 and 115,004.40 is: 172,386.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,920.20 : 314,661.60 = 115,004.40 : x
  2. Step 2: Convert to fraction form
    209,920.20/314,661.60 = 115,004.40/x
  3. Step 3: Cross multiply
    209,920.20x = 314,661.60 × 115,004.40
  4. Step 4: Simplify right side
    209,920.20x = 36,187,468,511.04
  5. Step 5: Solve for x
    x = 36,187,468,511.04/209,920.20
  6. Step 6: Final answer
    x = 172,386.79

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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.