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Finding the Fourth Proportional to 180,445.76, 270,570.72 and 54,068.48

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Solution

The fourth proportional to 180,445.76, 270,570.72 and 54,068.48 is: 81,073.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,445.76 : 270,570.72 = 54,068.48 : x
  2. Step 2: Convert to fraction form
    180,445.76/270,570.72 = 54,068.48/x
  3. Step 3: Cross multiply
    180,445.76x = 270,570.72 × 54,068.48
  4. Step 4: Simplify right side
    180,445.76x = 14,629,347,562.91
  5. Step 5: Solve for x
    x = 14,629,347,562.91/180,445.76
  6. Step 6: Final answer
    x = 81,073.38

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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.