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Finding the Fourth Proportional to 151,548.36, 209,138.16 and 83,568.06

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Solution

The fourth proportional to 151,548.36, 209,138.16 and 83,568.06 is: 115,324.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    151,548.36 : 209,138.16 = 83,568.06 : x
  2. Step 2: Convert to fraction form
    151,548.36/209,138.16 = 83,568.06/x
  3. Step 3: Cross multiply
    151,548.36x = 209,138.16 × 83,568.06
  4. Step 4: Simplify right side
    151,548.36x = 17,477,270,303.17
  5. Step 5: Solve for x
    x = 17,477,270,303.17/151,548.36
  6. Step 6: Final answer
    x = 115,324.71

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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.