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Finding the Fourth Proportional to 269,253.64, 371,554.89 and 148,394.56

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Solution

The fourth proportional to 269,253.64, 371,554.89 and 148,394.56 is: 204,776.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,253.64 : 371,554.89 = 148,394.56 : x
  2. Step 2: Convert to fraction form
    269,253.64/371,554.89 = 148,394.56/x
  3. Step 3: Cross multiply
    269,253.64x = 371,554.89 × 148,394.56
  4. Step 4: Simplify right side
    269,253.64x = 55,136,724,417.40
  5. Step 5: Solve for x
    x = 55,136,724,417.40/269,253.64
  6. Step 6: Final answer
    x = 204,776.15

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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.