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Finding the Fourth Proportional to 174,066.89, 260,657.21 and 114,722.64

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Solution

The fourth proportional to 174,066.89, 260,657.21 and 114,722.64 is: 171,791.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    174,066.89 : 260,657.21 = 114,722.64 : x
  2. Step 2: Convert to fraction form
    174,066.89/260,657.21 = 114,722.64/x
  3. Step 3: Cross multiply
    174,066.89x = 260,657.21 × 114,722.64
  4. Step 4: Simplify right side
    174,066.89x = 29,903,282,692.62
  5. Step 5: Solve for x
    x = 29,903,282,692.62/174,066.89
  6. Step 6: Final answer
    x = 171,791.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.