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Finding the Fourth Proportional to 100,166.95, 150,258.24 and 29,090.75

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Solution

The fourth proportional to 100,166.95, 150,258.24 and 29,090.75 is: 43,638.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,166.95 : 150,258.24 = 29,090.75 : x
  2. Step 2: Convert to fraction form
    100,166.95/150,258.24 = 29,090.75/x
  3. Step 3: Cross multiply
    100,166.95x = 150,258.24 × 29,090.75
  4. Step 4: Simplify right side
    100,166.95x = 4,371,124,895.28
  5. Step 5: Solve for x
    x = 4,371,124,895.28/100,166.95
  6. Step 6: Final answer
    x = 43,638.39

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.