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Finding the Fourth Proportional to 276,901.84, 413,835.31 and 202,179.34

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Solution

The fourth proportional to 276,901.84, 413,835.31 and 202,179.34 is: 302,161.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,901.84 : 413,835.31 = 202,179.34 : x
  2. Step 2: Convert to fraction form
    276,901.84/413,835.31 = 202,179.34/x
  3. Step 3: Cross multiply
    276,901.84x = 413,835.31 × 202,179.34
  4. Step 4: Simplify right side
    276,901.84x = 83,668,950,349.94
  5. Step 5: Solve for x
    x = 83,668,950,349.94/276,901.84
  6. Step 6: Final answer
    x = 302,161.05

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.