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Finding the Fourth Proportional to 176,806.70, 264,918.45 and 151,729.10

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Solution

The fourth proportional to 176,806.70, 264,918.45 and 151,729.10 is: 227,343.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,806.70 : 264,918.45 = 151,729.10 : x
  2. Step 2: Convert to fraction form
    176,806.70/264,918.45 = 151,729.10/x
  3. Step 3: Cross multiply
    176,806.70x = 264,918.45 × 151,729.10
  4. Step 4: Simplify right side
    176,806.70x = 40,195,837,991.90
  5. Step 5: Solve for x
    x = 40,195,837,991.90/176,806.70
  6. Step 6: Final answer
    x = 227,343.41

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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.