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Finding the Fourth Proportional to 148,214.48, 204,535.56 and 81,146

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Solution

The fourth proportional to 148,214.48, 204,535.56 and 81,146 is: 111,981.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,214.48 : 204,535.56 = 81,146 : x
  2. Step 2: Convert to fraction form
    148,214.48/204,535.56 = 81,146/x
  3. Step 3: Cross multiply
    148,214.48x = 204,535.56 × 81,146
  4. Step 4: Simplify right side
    148,214.48x = 16,597,242,551.76
  5. Step 5: Solve for x
    x = 16,597,242,551.76/148,214.48
  6. Step 6: Final answer
    x = 111,981.25

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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.