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Finding the Fourth Proportional to 180,359.16, 270,572.76 and 55,671

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Solution

The fourth proportional to 180,359.16, 270,572.76 and 55,671 is: 83,517.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,359.16 : 270,572.76 = 55,671 : x
  2. Step 2: Convert to fraction form
    180,359.16/270,572.76 = 55,671/x
  3. Step 3: Cross multiply
    180,359.16x = 270,572.76 × 55,671
  4. Step 4: Simplify right side
    180,359.16x = 15,063,056,121.96
  5. Step 5: Solve for x
    x = 15,063,056,121.96/180,359.16
  6. Step 6: Final answer
    x = 83,517.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.