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Finding the Fourth Proportional to 101,419.21, 152,203.56 and 48,111.36

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Solution

The fourth proportional to 101,419.21, 152,203.56 and 48,111.36 is: 72,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,419.21 : 152,203.56 = 48,111.36 : x
  2. Step 2: Convert to fraction form
    101,419.21/152,203.56 = 48,111.36/x
  3. Step 3: Cross multiply
    101,419.21x = 152,203.56 × 48,111.36
  4. Step 4: Simplify right side
    101,419.21x = 7,322,719,266.87
  5. Step 5: Solve for x
    x = 7,322,719,266.87/101,419.21
  6. Step 6: Final answer
    x = 72,202.49

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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.