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Finding the Fourth Proportional to 172,025.40, 258,038.10 and 145,846.20

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Solution

The fourth proportional to 172,025.40, 258,038.10 and 145,846.20 is: 218,769.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,025.40 : 258,038.10 = 145,846.20 : x
  2. Step 2: Convert to fraction form
    172,025.40/258,038.10 = 145,846.20/x
  3. Step 3: Cross multiply
    172,025.40x = 258,038.10 × 145,846.20
  4. Step 4: Simplify right side
    172,025.40x = 37,633,876,340.22
  5. Step 5: Solve for x
    x = 37,633,876,340.22/172,025.40
  6. Step 6: Final answer
    x = 218,769.30

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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.