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Finding the Fourth Proportional to 253,046.70, 379,509.30 and 146,199.60

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Solution

The fourth proportional to 253,046.70, 379,509.30 and 146,199.60 is: 219,264.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,046.70 : 379,509.30 = 146,199.60 : x
  2. Step 2: Convert to fraction form
    253,046.70/379,509.30 = 146,199.60/x
  3. Step 3: Cross multiply
    253,046.70x = 379,509.30 × 146,199.60
  4. Step 4: Simplify right side
    253,046.70x = 55,484,107,856.28
  5. Step 5: Solve for x
    x = 55,484,107,856.28/253,046.70
  6. Step 6: Final answer
    x = 219,264.30

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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.