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Finding the Fourth Proportional to 180,243.47, 270,380.54 and 47,123.51

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Solution

The fourth proportional to 180,243.47, 270,380.54 and 47,123.51 is: 70,689.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    180,243.47 : 270,380.54 = 47,123.51 : x
  2. Step 2: Convert to fraction form
    180,243.47/270,380.54 = 47,123.51/x
  3. Step 3: Cross multiply
    180,243.47x = 270,380.54 × 47,123.51
  4. Step 4: Simplify right side
    180,243.47x = 12,741,280,367.29
  5. Step 5: Solve for x
    x = 12,741,280,367.29/180,243.47
  6. Step 6: Final answer
    x = 70,689.28

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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.