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Finding the Fourth Proportional to 275,348.64, 413,173.20 and 106,875.60

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Solution

The fourth proportional to 275,348.64, 413,173.20 and 106,875.60 is: 160,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,348.64 : 413,173.20 = 106,875.60 : x
  2. Step 2: Convert to fraction form
    275,348.64/413,173.20 = 106,875.60/x
  3. Step 3: Cross multiply
    275,348.64x = 413,173.20 × 106,875.60
  4. Step 4: Simplify right side
    275,348.64x = 44,158,133,653.92
  5. Step 5: Solve for x
    x = 44,158,133,653.92/275,348.64
  6. Step 6: Final answer
    x = 160,371.72

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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.