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Finding the Fourth Proportional to 172,124.10, 258,222.60 and 52,171.20

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Solution

The fourth proportional to 172,124.10, 258,222.60 and 52,171.20 is: 78,267.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,124.10 : 258,222.60 = 52,171.20 : x
  2. Step 2: Convert to fraction form
    172,124.10/258,222.60 = 52,171.20/x
  3. Step 3: Cross multiply
    172,124.10x = 258,222.60 × 52,171.20
  4. Step 4: Simplify right side
    172,124.10x = 13,471,782,909.12
  5. Step 5: Solve for x
    x = 13,471,782,909.12/172,124.10
  6. Step 6: Final answer
    x = 78,267.85

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