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Finding the Fourth Proportional to 172,214.20, 258,321.30 and 102,057.40

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Solution

The fourth proportional to 172,214.20, 258,321.30 and 102,057.40 is: 153,086.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,214.20 : 258,321.30 = 102,057.40 : x
  2. Step 2: Convert to fraction form
    172,214.20/258,321.30 = 102,057.40/x
  3. Step 3: Cross multiply
    172,214.20x = 258,321.30 × 102,057.40
  4. Step 4: Simplify right side
    172,214.20x = 26,363,600,242.62
  5. Step 5: Solve for x
    x = 26,363,600,242.62/172,214.20
  6. Step 6: Final answer
    x = 153,086.10

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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.