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Finding the Fourth Proportional to 269,283, 371,608.50 and 148,424.28

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Solution

The fourth proportional to 269,283, 371,608.50 and 148,424.28 is: 204,824.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,283 : 371,608.50 = 148,424.28 : x
  2. Step 2: Convert to fraction form
    269,283/371,608.50 = 148,424.28/x
  3. Step 3: Cross multiply
    269,283x = 371,608.50 × 148,424.28
  4. Step 4: Simplify right side
    269,283x = 55,155,724,054.38
  5. Step 5: Solve for x
    x = 55,155,724,054.38/269,283
  6. Step 6: Final answer
    x = 204,824.38

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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.