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Finding the Fourth Proportional to 269,023, 371,277.66 and 149,791

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Solution

The fourth proportional to 269,023, 371,277.66 and 149,791 is: 206,726.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,023 : 371,277.66 = 149,791 : x
  2. Step 2: Convert to fraction form
    269,023/371,277.66 = 149,791/x
  3. Step 3: Cross multiply
    269,023x = 371,277.66 × 149,791
  4. Step 4: Simplify right side
    269,023x = 55,614,051,969.06
  5. Step 5: Solve for x
    x = 55,614,051,969.06/269,023
  6. Step 6: Final answer
    x = 206,726.01

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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.