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Finding the Fourth Proportional to 148,262, 204,602.28 and 81,194

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Solution

The fourth proportional to 148,262, 204,602.28 and 81,194 is: 112,048.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,262 : 204,602.28 = 81,194 : x
  2. Step 2: Convert to fraction form
    148,262/204,602.28 = 81,194/x
  3. Step 3: Cross multiply
    148,262x = 204,602.28 × 81,194
  4. Step 4: Simplify right side
    148,262x = 16,612,477,522.32
  5. Step 5: Solve for x
    x = 16,612,477,522.32/148,262
  6. Step 6: Final answer
    x = 112,048.11

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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.