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Finding the Fourth Proportional to 154,534.50, 213,048.24 and 132,114.33

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Solution

The fourth proportional to 154,534.50, 213,048.24 and 132,114.33 is: 182,138.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,534.50 : 213,048.24 = 132,114.33 : x
  2. Step 2: Convert to fraction form
    154,534.50/213,048.24 = 132,114.33/x
  3. Step 3: Cross multiply
    154,534.50x = 213,048.24 × 132,114.33
  4. Step 4: Simplify right side
    154,534.50x = 28,146,725,732.99
  5. Step 5: Solve for x
    x = 28,146,725,732.99/154,534.50
  6. Step 6: Final answer
    x = 182,138.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.