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Finding the Fourth Proportional to 102,338.08, 141,216.96 and 75,495.48

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Solution

The fourth proportional to 102,338.08, 141,216.96 and 75,495.48 is: 104,176.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,338.08 : 141,216.96 = 75,495.48 : x
  2. Step 2: Convert to fraction form
    102,338.08/141,216.96 = 75,495.48/x
  3. Step 3: Cross multiply
    102,338.08x = 141,216.96 × 75,495.48
  4. Step 4: Simplify right side
    102,338.08x = 10,661,242,179.34
  5. Step 5: Solve for x
    x = 10,661,242,179.34/102,338.08
  6. Step 6: Final answer
    x = 104,176.69

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.