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Finding the Fourth Proportional to 102,165.04, 153,149 and 52,268.62

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Solution

The fourth proportional to 102,165.04, 153,149 and 52,268.62 is: 78,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,165.04 : 153,149 = 52,268.62 : x
  2. Step 2: Convert to fraction form
    102,165.04/153,149 = 52,268.62/x
  3. Step 3: Cross multiply
    102,165.04x = 153,149 × 52,268.62
  4. Step 4: Simplify right side
    102,165.04x = 8,004,886,884.38
  5. Step 5: Solve for x
    x = 8,004,886,884.38/102,165.04
  6. Step 6: Final answer
    x = 78,352.51

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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.