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Finding the Fourth Proportional to 176,085.60, 264,711.60 and 150,424.80

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Solution

The fourth proportional to 176,085.60, 264,711.60 and 150,424.80 is: 226,135.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,085.60 : 264,711.60 = 150,424.80 : x
  2. Step 2: Convert to fraction form
    176,085.60/264,711.60 = 150,424.80/x
  3. Step 3: Cross multiply
    176,085.60x = 264,711.60 × 150,424.80
  4. Step 4: Simplify right side
    176,085.60x = 39,819,189,487.68
  5. Step 5: Solve for x
    x = 39,819,189,487.68/176,085.60
  6. Step 6: Final answer
    x = 226,135.41

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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.