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Finding the Fourth Proportional to 115,845.76, 174,059.64 and 73,744.48

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Solution

The fourth proportional to 115,845.76, 174,059.64 and 73,744.48 is: 110,801.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,845.76 : 174,059.64 = 73,744.48 : x
  2. Step 2: Convert to fraction form
    115,845.76/174,059.64 = 73,744.48/x
  3. Step 3: Cross multiply
    115,845.76x = 174,059.64 × 73,744.48
  4. Step 4: Simplify right side
    115,845.76x = 12,835,937,640.79
  5. Step 5: Solve for x
    x = 12,835,937,640.79/115,845.76
  6. Step 6: Final answer
    x = 110,801.96

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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.