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Finding the Fourth Proportional to 109,419.40, 164,129.10 and 109,419.40

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Solution

The fourth proportional to 109,419.40, 164,129.10 and 109,419.40 is: 164,129.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    109,419.40 : 164,129.10 = 109,419.40 : x
  2. Step 2: Convert to fraction form
    109,419.40/164,129.10 = 109,419.40/x
  3. Step 3: Cross multiply
    109,419.40x = 164,129.10 × 109,419.40
  4. Step 4: Simplify right side
    109,419.40x = 17,958,907,644.54
  5. Step 5: Solve for x
    x = 17,958,907,644.54/109,419.40
  6. Step 6: Final answer
    x = 164,129.10

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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.