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Finding the Fourth Proportional to 180,419.16, 270,662.76 and 55,731

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Solution

The fourth proportional to 180,419.16, 270,662.76 and 55,731 is: 83,607.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,419.16 : 270,662.76 = 55,731 : x
  2. Step 2: Convert to fraction form
    180,419.16/270,662.76 = 55,731/x
  3. Step 3: Cross multiply
    180,419.16x = 270,662.76 × 55,731
  4. Step 4: Simplify right side
    180,419.16x = 15,084,306,277.56
  5. Step 5: Solve for x
    x = 15,084,306,277.56/180,419.16
  6. Step 6: Final answer
    x = 83,607.01

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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.