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Finding the Fourth Proportional to 270,534.26, 405,852.39 and 83,502.02

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Solution

The fourth proportional to 270,534.26, 405,852.39 and 83,502.02 is: 125,268.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,534.26 : 405,852.39 = 83,502.02 : x
  2. Step 2: Convert to fraction form
    270,534.26/405,852.39 = 83,502.02/x
  3. Step 3: Cross multiply
    270,534.26x = 405,852.39 × 83,502.02
  4. Step 4: Simplify right side
    270,534.26x = 33,889,494,386.83
  5. Step 5: Solve for x
    x = 33,889,494,386.83/270,534.26
  6. Step 6: Final answer
    x = 125,268.77

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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.