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Finding the Fourth Proportional to 104,745.96, 144,549.16 and 56,999.30

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Solution

The fourth proportional to 104,745.96, 144,549.16 and 56,999.30 is: 78,658.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,745.96 : 144,549.16 = 56,999.30 : x
  2. Step 2: Convert to fraction form
    104,745.96/144,549.16 = 56,999.30/x
  3. Step 3: Cross multiply
    104,745.96x = 144,549.16 × 56,999.30
  4. Step 4: Simplify right side
    104,745.96x = 8,239,200,070.34
  5. Step 5: Solve for x
    x = 8,239,200,070.34/104,745.96
  6. Step 6: Final answer
    x = 78,658.88

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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.