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Finding the Fourth Proportional to 146,012.50, 219,042.45 and 57,217.87

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Solution

The fourth proportional to 146,012.50, 219,042.45 and 57,217.87 is: 85,836.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,012.50 : 219,042.45 = 57,217.87 : x
  2. Step 2: Convert to fraction form
    146,012.50/219,042.45 = 57,217.87/x
  3. Step 3: Cross multiply
    146,012.50x = 219,042.45 × 57,217.87
  4. Step 4: Simplify right side
    146,012.50x = 12,533,142,428.58
  5. Step 5: Solve for x
    x = 12,533,142,428.58/146,012.50
  6. Step 6: Final answer
    x = 85,836.09

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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.