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Finding the Fourth Proportional to 140,493.95, 193,883.18 and 76,830.38

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Solution

The fourth proportional to 140,493.95, 193,883.18 and 76,830.38 is: 106,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,493.95 : 193,883.18 = 76,830.38 : x
  2. Step 2: Convert to fraction form
    140,493.95/193,883.18 = 76,830.38/x
  3. Step 3: Cross multiply
    140,493.95x = 193,883.18 × 76,830.38
  4. Step 4: Simplify right side
    140,493.95x = 14,896,117,041.44
  5. Step 5: Solve for x
    x = 14,896,117,041.44/140,493.95
  6. Step 6: Final answer
    x = 106,026.75

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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.