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Finding the Fourth Proportional to 276,898.77, 382,120.47 and 149,574.42

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Solution

The fourth proportional to 276,898.77, 382,120.47 and 149,574.42 is: 206,412.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,898.77 : 382,120.47 = 149,574.42 : x
  2. Step 2: Convert to fraction form
    276,898.77/382,120.47 = 149,574.42/x
  3. Step 3: Cross multiply
    276,898.77x = 382,120.47 × 149,574.42
  4. Step 4: Simplify right side
    276,898.77x = 57,155,447,670.38
  5. Step 5: Solve for x
    x = 57,155,447,670.38/276,898.77
  6. Step 6: Final answer
    x = 206,412.79

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.