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Finding the Fourth Proportional to 176,491.20, 264,736.80 and 157,828.80

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Solution

The fourth proportional to 176,491.20, 264,736.80 and 157,828.80 is: 236,743.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,491.20 : 264,736.80 = 157,828.80 : x
  2. Step 2: Convert to fraction form
    176,491.20/264,736.80 = 157,828.80/x
  3. Step 3: Cross multiply
    176,491.20x = 264,736.80 × 157,828.80
  4. Step 4: Simplify right side
    176,491.20x = 41,783,091,459.84
  5. Step 5: Solve for x
    x = 41,783,091,459.84/176,491.20
  6. Step 6: Final answer
    x = 236,743.20

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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.