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Finding the Fourth Proportional to 172,503.60, 258,512.40 and 137,025.60

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Solution

The fourth proportional to 172,503.60, 258,512.40 and 137,025.60 is: 205,345.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    172,503.60 : 258,512.40 = 137,025.60 : x
  2. Step 2: Convert to fraction form
    172,503.60/258,512.40 = 137,025.60/x
  3. Step 3: Cross multiply
    172,503.60x = 258,512.40 × 137,025.60
  4. Step 4: Simplify right side
    172,503.60x = 35,422,816,717.44
  5. Step 5: Solve for x
    x = 35,422,816,717.44/172,503.60
  6. Step 6: Final answer
    x = 205,345.38

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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.