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Finding the Fourth Proportional to 145,410.40, 218,115.60 and 82,165.60

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Solution

The fourth proportional to 145,410.40, 218,115.60 and 82,165.60 is: 123,248.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,410.40 : 218,115.60 = 82,165.60 : x
  2. Step 2: Convert to fraction form
    145,410.40/218,115.60 = 82,165.60/x
  3. Step 3: Cross multiply
    145,410.40x = 218,115.60 × 82,165.60
  4. Step 4: Simplify right side
    145,410.40x = 17,921,599,143.36
  5. Step 5: Solve for x
    x = 17,921,599,143.36/145,410.40
  6. Step 6: Final answer
    x = 123,248.40

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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.