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Finding the Fourth Proportional to 153,563.52, 230,363.74 and 145,165.44

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Solution

The fourth proportional to 153,563.52, 230,363.74 and 145,165.44 is: 217,765.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,563.52 : 230,363.74 = 145,165.44 : x
  2. Step 2: Convert to fraction form
    153,563.52/230,363.74 = 145,165.44/x
  3. Step 3: Cross multiply
    153,563.52x = 230,363.74 × 145,165.44
  4. Step 4: Simplify right side
    153,563.52x = 33,440,853,677.15
  5. Step 5: Solve for x
    x = 33,440,853,677.15/153,563.52
  6. Step 6: Final answer
    x = 217,765.61

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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.