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Finding the Fourth Proportional to 176,822.52, 265,241.04 and 52,163.52

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Solution

The fourth proportional to 176,822.52, 265,241.04 and 52,163.52 is: 78,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,822.52 : 265,241.04 = 52,163.52 : x
  2. Step 2: Convert to fraction form
    176,822.52/265,241.04 = 52,163.52/x
  3. Step 3: Cross multiply
    176,822.52x = 265,241.04 × 52,163.52
  4. Step 4: Simplify right side
    176,822.52x = 13,835,906,294.86
  5. Step 5: Solve for x
    x = 13,835,906,294.86/176,822.52
  6. Step 6: Final answer
    x = 78,247.42

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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.