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Finding the Fourth Proportional to 276,472.17, 414,461.30 and 107,953.29

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Solution

The fourth proportional to 276,472.17, 414,461.30 and 107,953.29 is: 161,833.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,472.17 : 414,461.30 = 107,953.29 : x
  2. Step 2: Convert to fraction form
    276,472.17/414,461.30 = 107,953.29/x
  3. Step 3: Cross multiply
    276,472.17x = 414,461.30 × 107,953.29
  4. Step 4: Simplify right side
    276,472.17x = 44,742,460,372.91
  5. Step 5: Solve for x
    x = 44,742,460,372.91/276,472.17
  6. Step 6: Final answer
    x = 161,833.51

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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.