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Finding the Fourth Proportional to 149,228.88, 205,929.42 and 81,244.38

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Solution

The fourth proportional to 149,228.88, 205,929.42 and 81,244.38 is: 112,113.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,228.88 : 205,929.42 = 81,244.38 : x
  2. Step 2: Convert to fraction form
    149,228.88/205,929.42 = 81,244.38/x
  3. Step 3: Cross multiply
    149,228.88x = 205,929.42 × 81,244.38
  4. Step 4: Simplify right side
    149,228.88x = 16,730,608,051.66
  5. Step 5: Solve for x
    x = 16,730,608,051.66/149,228.88
  6. Step 6: Final answer
    x = 112,113.74

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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.