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Finding the Fourth Proportional to 276,165.75, 414,117.74 and 96,188.41

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Solution

The fourth proportional to 276,165.75, 414,117.74 and 96,188.41 is: 144,237.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,165.75 : 414,117.74 = 96,188.41 : x
  2. Step 2: Convert to fraction form
    276,165.75/414,117.74 = 96,188.41/x
  3. Step 3: Cross multiply
    276,165.75x = 414,117.74 × 96,188.41
  4. Step 4: Simplify right side
    276,165.75x = 39,833,327,721.51
  5. Step 5: Solve for x
    x = 39,833,327,721.51/276,165.75
  6. Step 6: Final answer
    x = 144,237.03

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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.