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Finding the Fourth Proportional to 148,225.82, 204,551.40 and 80,242.78

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Solution

The fourth proportional to 148,225.82, 204,551.40 and 80,242.78 is: 110,734.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,225.82 : 204,551.40 = 80,242.78 : x
  2. Step 2: Convert to fraction form
    148,225.82/204,551.40 = 80,242.78/x
  3. Step 3: Cross multiply
    148,225.82x = 204,551.40 × 80,242.78
  4. Step 4: Simplify right side
    148,225.82x = 16,413,772,477.51
  5. Step 5: Solve for x
    x = 16,413,772,477.51/148,225.82
  6. Step 6: Final answer
    x = 110,734.91

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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.