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Finding the Fourth Proportional to 209,666.39, 314,467.34 and 114,943.50

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Solution

The fourth proportional to 209,666.39, 314,467.34 and 114,943.50 is: 172,397.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,666.39 : 314,467.34 = 114,943.50 : x
  2. Step 2: Convert to fraction form
    209,666.39/314,467.34 = 114,943.50/x
  3. Step 3: Cross multiply
    209,666.39x = 314,467.34 × 114,943.50
  4. Step 4: Simplify right side
    209,666.39x = 36,145,976,120.57
  5. Step 5: Solve for x
    x = 36,145,976,120.57/209,666.39
  6. Step 6: Final answer
    x = 172,397.57

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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.