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Finding the Fourth Proportional to 174,010.10, 260,626.35 and 142,906.10

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Solution

The fourth proportional to 174,010.10, 260,626.35 and 142,906.10 is: 214,039.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,010.10 : 260,626.35 = 142,906.10 : x
  2. Step 2: Convert to fraction form
    174,010.10/260,626.35 = 142,906.10/x
  3. Step 3: Cross multiply
    174,010.10x = 260,626.35 × 142,906.10
  4. Step 4: Simplify right side
    174,010.10x = 37,245,095,235.74
  5. Step 5: Solve for x
    x = 37,245,095,235.74/174,010.10
  6. Step 6: Final answer
    x = 214,039.85

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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.