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Finding the Fourth Proportional to 148,216.48, 204,538.32 and 81,148

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Solution

The fourth proportional to 148,216.48, 204,538.32 and 81,148 is: 111,984.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,216.48 : 204,538.32 = 81,148 : x
  2. Step 2: Convert to fraction form
    148,216.48/204,538.32 = 81,148/x
  3. Step 3: Cross multiply
    148,216.48x = 204,538.32 × 81,148
  4. Step 4: Simplify right side
    148,216.48x = 16,597,875,591.36
  5. Step 5: Solve for x
    x = 16,597,875,591.36/148,216.48
  6. Step 6: Final answer
    x = 111,984.01

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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.