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Finding the Fourth Proportional to 269,532.48, 371,957.41 and 148,678.86

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Solution

The fourth proportional to 269,532.48, 371,957.41 and 148,678.86 is: 205,178.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    269,532.48 : 371,957.41 = 148,678.86 : x
  2. Step 2: Convert to fraction form
    269,532.48/371,957.41 = 148,678.86/x
  3. Step 3: Cross multiply
    269,532.48x = 371,957.41 × 148,678.86
  4. Step 4: Simplify right side
    269,532.48x = 55,302,203,687.35
  5. Step 5: Solve for x
    x = 55,302,203,687.35/269,532.48
  6. Step 6: Final answer
    x = 205,178.25

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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.