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Finding the Fourth Proportional to 172,206.40, 258,309.60 and 132,840.40

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Solution

The fourth proportional to 172,206.40, 258,309.60 and 132,840.40 is: 199,260.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,206.40 : 258,309.60 = 132,840.40 : x
  2. Step 2: Convert to fraction form
    172,206.40/258,309.60 = 132,840.40/x
  3. Step 3: Cross multiply
    172,206.40x = 258,309.60 × 132,840.40
  4. Step 4: Simplify right side
    172,206.40x = 34,313,950,587.84
  5. Step 5: Solve for x
    x = 34,313,950,587.84/172,206.40
  6. Step 6: Final answer
    x = 199,260.60

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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.