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Finding the Fourth Proportional to 275,887.60, 413,612.70 and 151,228.60

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Solution

The fourth proportional to 275,887.60, 413,612.70 and 151,228.60 is: 226,723.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,887.60 : 413,612.70 = 151,228.60 : x
  2. Step 2: Convert to fraction form
    275,887.60/413,612.70 = 151,228.60/x
  3. Step 3: Cross multiply
    275,887.60x = 413,612.70 × 151,228.60
  4. Step 4: Simplify right side
    275,887.60x = 62,550,069,563.22
  5. Step 5: Solve for x
    x = 62,550,069,563.22/275,887.60
  6. Step 6: Final answer
    x = 226,723.02

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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.