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Finding the Fourth Proportional to 102,900.96, 141,982.56 and 58,180.32

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Solution

The fourth proportional to 102,900.96, 141,982.56 and 58,180.32 is: 80,277.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,900.96 : 141,982.56 = 58,180.32 : x
  2. Step 2: Convert to fraction form
    102,900.96/141,982.56 = 58,180.32/x
  3. Step 3: Cross multiply
    102,900.96x = 141,982.56 × 58,180.32
  4. Step 4: Simplify right side
    102,900.96x = 8,260,590,775.22
  5. Step 5: Solve for x
    x = 8,260,590,775.22/102,900.96
  6. Step 6: Final answer
    x = 80,277.10

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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.