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Finding the Fourth Proportional to 272,951.80, 409,850.10 and 148,535.80

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Solution

The fourth proportional to 272,951.80, 409,850.10 and 148,535.80 is: 223,033.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    272,951.80 : 409,850.10 = 148,535.80 : x
  2. Step 2: Convert to fraction form
    272,951.80/409,850.10 = 148,535.80/x
  3. Step 3: Cross multiply
    272,951.80x = 409,850.10 × 148,535.80
  4. Step 4: Simplify right side
    272,951.80x = 60,877,412,483.58
  5. Step 5: Solve for x
    x = 60,877,412,483.58/272,951.80
  6. Step 6: Final answer
    x = 223,033.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.