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Finding the Fourth Proportional to 270,458.10, 405,725.55 and 83,450.10

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Solution

The fourth proportional to 270,458.10, 405,725.55 and 83,450.10 is: 125,187.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,458.10 : 405,725.55 = 83,450.10 : x
  2. Step 2: Convert to fraction form
    270,458.10/405,725.55 = 83,450.10/x
  3. Step 3: Cross multiply
    270,458.10x = 405,725.55 × 83,450.10
  4. Step 4: Simplify right side
    270,458.10x = 33,857,837,720.06
  5. Step 5: Solve for x
    x = 33,857,837,720.06/270,458.10
  6. Step 6: Final answer
    x = 125,187.00

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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.