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Finding the Fourth Proportional to 210,894.32, 291,033.80 and 115,401

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Solution

The fourth proportional to 210,894.32, 291,033.80 and 115,401 is: 159,253.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,894.32 : 291,033.80 = 115,401 : x
  2. Step 2: Convert to fraction form
    210,894.32/291,033.80 = 115,401/x
  3. Step 3: Cross multiply
    210,894.32x = 291,033.80 × 115,401
  4. Step 4: Simplify right side
    210,894.32x = 33,585,591,553.80
  5. Step 5: Solve for x
    x = 33,585,591,553.80/210,894.32
  6. Step 6: Final answer
    x = 159,253.18

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.