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Finding the Fourth Proportional to 180,417.66, 270,660.51 and 55,729.50

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Solution

The fourth proportional to 180,417.66, 270,660.51 and 55,729.50 is: 83,604.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,417.66 : 270,660.51 = 55,729.50 : x
  2. Step 2: Convert to fraction form
    180,417.66/270,660.51 = 55,729.50/x
  3. Step 3: Cross multiply
    180,417.66x = 270,660.51 × 55,729.50
  4. Step 4: Simplify right side
    180,417.66x = 15,083,774,892.05
  5. Step 5: Solve for x
    x = 15,083,774,892.05/180,417.66
  6. Step 6: Final answer
    x = 83,604.76

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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.