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Finding the Fourth Proportional to 104,912.65, 157,415.49 and 54,980.88

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Solution

The fourth proportional to 104,912.65, 157,415.49 and 54,980.88 is: 82,495.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,912.65 : 157,415.49 = 54,980.88 : x
  2. Step 2: Convert to fraction form
    104,912.65/157,415.49 = 54,980.88/x
  3. Step 3: Cross multiply
    104,912.65x = 157,415.49 × 54,980.88
  4. Step 4: Simplify right side
    104,912.65x = 8,654,842,165.83
  5. Step 5: Solve for x
    x = 8,654,842,165.83/104,912.65
  6. Step 6: Final answer
    x = 82,495.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.