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Finding the Fourth Proportional to 276,381.51, 414,309.82 and 108,009.84

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Solution

The fourth proportional to 276,381.51, 414,309.82 and 108,009.84 is: 161,912.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,381.51 : 414,309.82 = 108,009.84 : x
  2. Step 2: Convert to fraction form
    276,381.51/414,309.82 = 108,009.84/x
  3. Step 3: Cross multiply
    276,381.51x = 414,309.82 × 108,009.84
  4. Step 4: Simplify right side
    276,381.51x = 44,749,537,368.63
  5. Step 5: Solve for x
    x = 44,749,537,368.63/276,381.51
  6. Step 6: Final answer
    x = 161,912.20

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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.