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Finding the Fourth Proportional to 180,652.96, 270,993.46 and 54,283.34

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Solution

The fourth proportional to 180,652.96, 270,993.46 and 54,283.34 is: 81,429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,652.96 : 270,993.46 = 54,283.34 : x
  2. Step 2: Convert to fraction form
    180,652.96/270,993.46 = 54,283.34/x
  3. Step 3: Cross multiply
    180,652.96x = 270,993.46 × 54,283.34
  4. Step 4: Simplify right side
    180,652.96x = 14,710,430,126.96
  5. Step 5: Solve for x
    x = 14,710,430,126.96/180,652.96
  6. Step 6: Final answer
    x = 81,429.22

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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.