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Finding the Fourth Proportional to 269,304.71, 371,640.40 and 148,448.00

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Solution

The fourth proportional to 269,304.71, 371,640.40 and 148,448.00 is: 204,858.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,304.71 : 371,640.40 = 148,448.00 : x
  2. Step 2: Convert to fraction form
    269,304.71/371,640.40 = 148,448.00/x
  3. Step 3: Cross multiply
    269,304.71x = 371,640.40 × 148,448.00
  4. Step 4: Simplify right side
    269,304.71x = 55,169,274,657.18
  5. Step 5: Solve for x
    x = 55,169,274,657.18/269,304.71
  6. Step 6: Final answer
    x = 204,858.19

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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.