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Finding the Fourth Proportional to 145,410.60, 218,115.90 and 82,165.80

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Solution

The fourth proportional to 145,410.60, 218,115.90 and 82,165.80 is: 123,248.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,410.60 : 218,115.90 = 82,165.80 : x
  2. Step 2: Convert to fraction form
    145,410.60/218,115.90 = 82,165.80/x
  3. Step 3: Cross multiply
    145,410.60x = 218,115.90 × 82,165.80
  4. Step 4: Simplify right side
    145,410.60x = 17,921,667,416.22
  5. Step 5: Solve for x
    x = 17,921,667,416.22/145,410.60
  6. Step 6: Final answer
    x = 123,248.70

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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.