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Finding the Fourth Proportional to 109,827.60, 164,611.80 and 82,093.20

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Solution

The fourth proportional to 109,827.60, 164,611.80 and 82,093.20 is: 123,042.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,827.60 : 164,611.80 = 82,093.20 : x
  2. Step 2: Convert to fraction form
    109,827.60/164,611.80 = 82,093.20/x
  3. Step 3: Cross multiply
    109,827.60x = 164,611.80 × 82,093.20
  4. Step 4: Simplify right side
    109,827.60x = 13,513,509,419.76
  5. Step 5: Solve for x
    x = 13,513,509,419.76/109,827.60
  6. Step 6: Final answer
    x = 123,042.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.