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Finding the Fourth Proportional to 94,446.19, 140,978.30 and 83,236.47

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Solution

The fourth proportional to 94,446.19, 140,978.30 and 83,236.47 is: 124,245.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,446.19 : 140,978.30 = 83,236.47 : x
  2. Step 2: Convert to fraction form
    94,446.19/140,978.30 = 83,236.47/x
  3. Step 3: Cross multiply
    94,446.19x = 140,978.30 × 83,236.47
  4. Step 4: Simplify right side
    94,446.19x = 11,734,536,038.60
  5. Step 5: Solve for x
    x = 11,734,536,038.60/94,446.19
  6. Step 6: Final answer
    x = 124,245.73

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.