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Finding the Fourth Proportional to 176,234.30, 263,914.05 and 141,242.30

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Solution

The fourth proportional to 176,234.30, 263,914.05 and 141,242.30 is: 211,512.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,234.30 : 263,914.05 = 141,242.30 : x
  2. Step 2: Convert to fraction form
    176,234.30/263,914.05 = 141,242.30/x
  3. Step 3: Cross multiply
    176,234.30x = 263,914.05 × 141,242.30
  4. Step 4: Simplify right side
    176,234.30x = 37,275,827,424.32
  5. Step 5: Solve for x
    x = 37,275,827,424.32/176,234.30
  6. Step 6: Final answer
    x = 211,512.90

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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.