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Finding the Fourth Proportional to 253,181.70, 379,711.80 and 146,334.60

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Solution

The fourth proportional to 253,181.70, 379,711.80 and 146,334.60 is: 219,466.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,181.70 : 379,711.80 = 146,334.60 : x
  2. Step 2: Convert to fraction form
    253,181.70/379,711.80 = 146,334.60/x
  3. Step 3: Cross multiply
    253,181.70x = 379,711.80 × 146,334.60
  4. Step 4: Simplify right side
    253,181.70x = 55,564,974,368.28
  5. Step 5: Solve for x
    x = 55,564,974,368.28/253,181.70
  6. Step 6: Final answer
    x = 219,466.79

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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.