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Finding the Fourth Proportional to 273,705.10, 410,554.80 and 86,716.60

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Solution

The fourth proportional to 273,705.10, 410,554.80 and 86,716.60 is: 130,074.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,705.10 : 410,554.80 = 86,716.60 : x
  2. Step 2: Convert to fraction form
    273,705.10/410,554.80 = 86,716.60/x
  3. Step 3: Cross multiply
    273,705.10x = 410,554.80 × 86,716.60
  4. Step 4: Simplify right side
    273,705.10x = 35,601,916,369.68
  5. Step 5: Solve for x
    x = 35,601,916,369.68/273,705.10
  6. Step 6: Final answer
    x = 130,074.00

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Why These Related Problems?

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