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Finding the Fourth Proportional to 176,031.80, 263,610.30 and 141,039.80

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Solution

The fourth proportional to 176,031.80, 263,610.30 and 141,039.80 is: 211,209.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,031.80 : 263,610.30 = 141,039.80 : x
  2. Step 2: Convert to fraction form
    176,031.80/263,610.30 = 141,039.80/x
  3. Step 3: Cross multiply
    176,031.80x = 263,610.30 × 141,039.80
  4. Step 4: Simplify right side
    176,031.80x = 37,179,543,989.94
  5. Step 5: Solve for x
    x = 37,179,543,989.94/176,031.80
  6. Step 6: Final answer
    x = 211,209.25

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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.