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Finding the Fourth Proportional to 351,340.25, 527,024.96 and 102,022.25

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Solution

The fourth proportional to 351,340.25, 527,024.96 and 102,022.25 is: 153,037.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,340.25 : 527,024.96 = 102,022.25 : x
  2. Step 2: Convert to fraction form
    351,340.25/527,024.96 = 102,022.25/x
  3. Step 3: Cross multiply
    351,340.25x = 527,024.96 × 102,022.25
  4. Step 4: Simplify right side
    351,340.25x = 53,768,272,225.36
  5. Step 5: Solve for x
    x = 53,768,272,225.36/351,340.25
  6. Step 6: Final answer
    x = 153,037.61

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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.