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Finding the Fourth Proportional to 105,562.34, 145,676.49 and 57,164.90

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Solution

The fourth proportional to 105,562.34, 145,676.49 and 57,164.90 is: 78,887.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,562.34 : 145,676.49 = 57,164.90 : x
  2. Step 2: Convert to fraction form
    105,562.34/145,676.49 = 57,164.90/x
  3. Step 3: Cross multiply
    105,562.34x = 145,676.49 × 57,164.90
  4. Step 4: Simplify right side
    105,562.34x = 8,327,581,983.20
  5. Step 5: Solve for x
    x = 8,327,581,983.20/105,562.34
  6. Step 6: Final answer
    x = 78,887.81

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Why These Related Problems?

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