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Finding the Fourth Proportional to 262,169, 393,254.94 and 65,177

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Solution

The fourth proportional to 262,169, 393,254.94 and 65,177 is: 97,765.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,169 : 393,254.94 = 65,177 : x
  2. Step 2: Convert to fraction form
    262,169/393,254.94 = 65,177/x
  3. Step 3: Cross multiply
    262,169x = 393,254.94 × 65,177
  4. Step 4: Simplify right side
    262,169x = 25,631,177,224.38
  5. Step 5: Solve for x
    x = 25,631,177,224.38/262,169
  6. Step 6: Final answer
    x = 97,765.86

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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.