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Finding the Fourth Proportional to 356,731.20, 535,096.80 and 146,260.80

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Solution

The fourth proportional to 356,731.20, 535,096.80 and 146,260.80 is: 219,391.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,731.20 : 535,096.80 = 146,260.80 : x
  2. Step 2: Convert to fraction form
    356,731.20/535,096.80 = 146,260.80/x
  3. Step 3: Cross multiply
    356,731.20x = 535,096.80 × 146,260.80
  4. Step 4: Simplify right side
    356,731.20x = 78,263,686,045.44
  5. Step 5: Solve for x
    x = 78,263,686,045.44/356,731.20
  6. Step 6: Final answer
    x = 219,391.20

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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.