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Finding the Fourth Proportional to 269,059.38, 371,318.81 and 148,200.63

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Solution

The fourth proportional to 269,059.38, 371,318.81 and 148,200.63 is: 204,526.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,059.38 : 371,318.81 = 148,200.63 : x
  2. Step 2: Convert to fraction form
    269,059.38/371,318.81 = 148,200.63/x
  3. Step 3: Cross multiply
    269,059.38x = 371,318.81 × 148,200.63
  4. Step 4: Simplify right side
    269,059.38x = 55,029,680,831.85
  5. Step 5: Solve for x
    x = 55,029,680,831.85/269,059.38
  6. Step 6: Final answer
    x = 204,526.16

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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.