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Finding the Fourth Proportional to 176,805.72, 265,189.14 and 52,156.44

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Solution

The fourth proportional to 176,805.72, 265,189.14 and 52,156.44 is: 78,228.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,805.72 : 265,189.14 = 52,156.44 : x
  2. Step 2: Convert to fraction form
    176,805.72/265,189.14 = 52,156.44/x
  3. Step 3: Cross multiply
    176,805.72x = 265,189.14 × 52,156.44
  4. Step 4: Simplify right side
    176,805.72x = 13,831,321,469.06
  5. Step 5: Solve for x
    x = 13,831,321,469.06/176,805.72
  6. Step 6: Final answer
    x = 78,228.93

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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.