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Finding the Fourth Proportional to 276,855.79, 413,766.41 and 202,133.29

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Solution

The fourth proportional to 276,855.79, 413,766.41 and 202,133.29 is: 302,092.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,855.79 : 413,766.41 = 202,133.29 : x
  2. Step 2: Convert to fraction form
    276,855.79/413,766.41 = 202,133.29/x
  3. Step 3: Cross multiply
    276,855.79x = 413,766.41 × 202,133.29
  4. Step 4: Simplify right side
    276,855.79x = 83,635,963,699.71
  5. Step 5: Solve for x
    x = 83,635,963,699.71/276,855.79
  6. Step 6: Final answer
    x = 302,092.16

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Why These Related Problems?

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