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Finding the Fourth Proportional to 276,555.84, 414,741.52 and 108,032.48

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Solution

The fourth proportional to 276,555.84, 414,741.52 and 108,032.48 is: 162,012.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,555.84 : 414,741.52 = 108,032.48 : x
  2. Step 2: Convert to fraction form
    276,555.84/414,741.52 = 108,032.48/x
  3. Step 3: Cross multiply
    276,555.84x = 414,741.52 × 108,032.48
  4. Step 4: Simplify right side
    276,555.84x = 44,805,554,964.57
  5. Step 5: Solve for x
    x = 44,805,554,964.57/276,555.84
  6. Step 6: Final answer
    x = 162,012.69

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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.