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Finding the Fourth Proportional to 351,409.92, 527,166.24 and 102,059.52

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Solution

The fourth proportional to 351,409.92, 527,166.24 and 102,059.52 is: 153,104.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    351,409.92 : 527,166.24 = 102,059.52 : x
  2. Step 2: Convert to fraction form
    351,409.92/527,166.24 = 102,059.52/x
  3. Step 3: Cross multiply
    351,409.92x = 527,166.24 × 102,059.52
  4. Step 4: Simplify right side
    351,409.92x = 53,802,333,414.60
  5. Step 5: Solve for x
    x = 53,802,333,414.60/351,409.92
  6. Step 6: Final answer
    x = 153,104.20

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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.