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Finding the Fourth Proportional to 148,208, 204,527.04 and 81,140.16

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Solution

The fourth proportional to 148,208, 204,527.04 and 81,140.16 is: 111,973.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,208 : 204,527.04 = 81,140.16 : x
  2. Step 2: Convert to fraction form
    148,208/204,527.04 = 81,140.16/x
  3. Step 3: Cross multiply
    148,208x = 204,527.04 × 81,140.16
  4. Step 4: Simplify right side
    148,208x = 16,595,356,749.93
  5. Step 5: Solve for x
    x = 16,595,356,749.93/148,208
  6. Step 6: Final answer
    x = 111,973.42

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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.