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Finding the Fourth Proportional to 177,212, 265,896.30 and 92,952.02

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Solution

The fourth proportional to 177,212, 265,896.30 and 92,952.02 is: 139,469.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    177,212 : 265,896.30 = 92,952.02 : x
  2. Step 2: Convert to fraction form
    177,212/265,896.30 = 92,952.02/x
  3. Step 3: Cross multiply
    177,212x = 265,896.30 × 92,952.02
  4. Step 4: Simplify right side
    177,212x = 24,715,598,195.53
  5. Step 5: Solve for x
    x = 24,715,598,195.53/177,212
  6. Step 6: Final answer
    x = 139,469.10

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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.