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Finding the Fourth Proportional to 99,850, 137,793.12 and 55,138

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Solution

The fourth proportional to 99,850, 137,793.12 and 55,138 is: 76,090.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,850 : 137,793.12 = 55,138 : x
  2. Step 2: Convert to fraction form
    99,850/137,793.12 = 55,138/x
  3. Step 3: Cross multiply
    99,850x = 137,793.12 × 55,138
  4. Step 4: Simplify right side
    99,850x = 7,597,637,050.56
  5. Step 5: Solve for x
    x = 7,597,637,050.56/99,850
  6. Step 6: Final answer
    x = 76,090.51

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