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Finding the Fourth Proportional to 275,580.72, 413,210.19 and 106,903.94

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Solution

The fourth proportional to 275,580.72, 413,210.19 and 106,903.94 is: 160,293.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,580.72 : 413,210.19 = 106,903.94 : x
  2. Step 2: Convert to fraction form
    275,580.72/413,210.19 = 106,903.94/x
  3. Step 3: Cross multiply
    275,580.72x = 413,210.19 × 106,903.94
  4. Step 4: Simplify right side
    275,580.72x = 44,173,796,824.63
  5. Step 5: Solve for x
    x = 44,173,796,824.63/275,580.72
  6. Step 6: Final answer
    x = 160,293.50

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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.