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Finding the Fourth Proportional to 209,138.40, 313,821 and 90,809.28

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Solution

The fourth proportional to 209,138.40, 313,821 and 90,809.28 is: 136,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,138.40 : 313,821 = 90,809.28 : x
  2. Step 2: Convert to fraction form
    209,138.40/313,821 = 90,809.28/x
  3. Step 3: Cross multiply
    209,138.40x = 313,821 × 90,809.28
  4. Step 4: Simplify right side
    209,138.40x = 28,497,859,058.88
  5. Step 5: Solve for x
    x = 28,497,859,058.88/209,138.40
  6. Step 6: Final answer
    x = 136,263.16

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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.