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Finding the Fourth Proportional to 99,830.37, 137,765.26 and 54,508.34

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Solution

The fourth proportional to 99,830.37, 137,765.26 and 54,508.34 is: 75,221.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,830.37 : 137,765.26 = 54,508.34 : x
  2. Step 2: Convert to fraction form
    99,830.37/137,765.26 = 54,508.34/x
  3. Step 3: Cross multiply
    99,830.37x = 137,765.26 × 54,508.34
  4. Step 4: Simplify right side
    99,830.37x = 7,509,355,738.21
  5. Step 5: Solve for x
    x = 7,509,355,738.21/99,830.37
  6. Step 6: Final answer
    x = 75,221.15

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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.