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Finding the Fourth Proportional to 104,892.65, 144,751.85 and 57,146

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Solution

The fourth proportional to 104,892.65, 144,751.85 and 57,146 is: 78,861.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,892.65 : 144,751.85 = 57,146 : x
  2. Step 2: Convert to fraction form
    104,892.65/144,751.85 = 57,146/x
  3. Step 3: Cross multiply
    104,892.65x = 144,751.85 × 57,146
  4. Step 4: Simplify right side
    104,892.65x = 8,271,989,220.10
  5. Step 5: Solve for x
    x = 8,271,989,220.10/104,892.65
  6. Step 6: Final answer
    x = 78,861.48

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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.