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Finding the Fourth Proportional to 265,096.49, 397,595.34 and 85,185.04

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Solution

The fourth proportional to 265,096.49, 397,595.34 and 85,185.04 is: 127,761.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,096.49 : 397,595.34 = 85,185.04 : x
  2. Step 2: Convert to fraction form
    265,096.49/397,595.34 = 85,185.04/x
  3. Step 3: Cross multiply
    265,096.49x = 397,595.34 × 85,185.04
  4. Step 4: Simplify right side
    265,096.49x = 33,869,172,527.81
  5. Step 5: Solve for x
    x = 33,869,172,527.81/265,096.49
  6. Step 6: Final answer
    x = 127,761.68

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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.