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Finding the Fourth Proportional to 148,999.14, 205,618.80 and 81,931.14

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Solution

The fourth proportional to 148,999.14, 205,618.80 and 81,931.14 is: 113,064.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    148,999.14 : 205,618.80 = 81,931.14 : x
  2. Step 2: Convert to fraction form
    148,999.14/205,618.80 = 81,931.14/x
  3. Step 3: Cross multiply
    148,999.14x = 205,618.80 × 81,931.14
  4. Step 4: Simplify right side
    148,999.14x = 16,846,582,689.43
  5. Step 5: Solve for x
    x = 16,846,582,689.43/148,999.14
  6. Step 6: Final answer
    x = 113,064.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.