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Finding the Fourth Proportional to 351,339.50, 527,023.83 and 102,021.50

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Solution

The fourth proportional to 351,339.50, 527,023.83 and 102,021.50 is: 153,036.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,339.50 : 527,023.83 = 102,021.50 : x
  2. Step 2: Convert to fraction form
    351,339.50/527,023.83 = 102,021.50/x
  3. Step 3: Cross multiply
    351,339.50x = 527,023.83 × 102,021.50
  4. Step 4: Simplify right side
    351,339.50x = 53,767,761,672.35
  5. Step 5: Solve for x
    x = 53,767,761,672.35/351,339.50
  6. Step 6: Final answer
    x = 153,036.48

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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.