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Finding the Fourth Proportional to 147,969.96, 221,932.98 and 54,453.84

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Solution

The fourth proportional to 147,969.96, 221,932.98 and 54,453.84 is: 81,672.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,969.96 : 221,932.98 = 54,453.84 : x
  2. Step 2: Convert to fraction form
    147,969.96/221,932.98 = 54,453.84/x
  3. Step 3: Cross multiply
    147,969.96x = 221,932.98 × 54,453.84
  4. Step 4: Simplify right side
    147,969.96x = 12,085,102,983.64
  5. Step 5: Solve for x
    x = 12,085,102,983.64/147,969.96
  6. Step 6: Final answer
    x = 81,672.68

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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.