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Finding the Fourth Proportional to 276,888.94, 382,106.89 and 149,564.53

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Solution

The fourth proportional to 276,888.94, 382,106.89 and 149,564.53 is: 206,399.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    276,888.94 : 382,106.89 = 149,564.53 : x
  2. Step 2: Convert to fraction form
    276,888.94/382,106.89 = 149,564.53/x
  3. Step 3: Cross multiply
    276,888.94x = 382,106.89 × 149,564.53
  4. Step 4: Simplify right side
    276,888.94x = 57,149,637,235.90
  5. Step 5: Solve for x
    x = 57,149,637,235.90/276,888.94
  6. Step 6: Final answer
    x = 206,399.14

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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.