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Finding the Fourth Proportional to 176,188.80, 263,845.80 and 141,196.80

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Solution

The fourth proportional to 176,188.80, 263,845.80 and 141,196.80 is: 211,444.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,188.80 : 263,845.80 = 141,196.80 : x
  2. Step 2: Convert to fraction form
    176,188.80/263,845.80 = 141,196.80/x
  3. Step 3: Cross multiply
    176,188.80x = 263,845.80 × 141,196.80
  4. Step 4: Simplify right side
    176,188.80x = 37,254,182,653.44
  5. Step 5: Solve for x
    x = 37,254,182,653.44/176,188.80
  6. Step 6: Final answer
    x = 211,444.67

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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.