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Finding the Fourth Proportional to 269,395.84, 371,768.79 and 148,541.47

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Solution

The fourth proportional to 269,395.84, 371,768.79 and 148,541.47 is: 204,988.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,395.84 : 371,768.79 = 148,541.47 : x
  2. Step 2: Convert to fraction form
    269,395.84/371,768.79 = 148,541.47/x
  3. Step 3: Cross multiply
    269,395.84x = 371,768.79 × 148,541.47
  4. Step 4: Simplify right side
    269,395.84x = 55,223,082,566.72
  5. Step 5: Solve for x
    x = 55,223,082,566.72/269,395.84
  6. Step 6: Final answer
    x = 204,988.62

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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.