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Finding the Fourth Proportional to 176,000.30, 263,806.05 and 97,171.10

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Solution

The fourth proportional to 176,000.30, 263,806.05 and 97,171.10 is: 145,649.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,000.30 : 263,806.05 = 97,171.10 : x
  2. Step 2: Convert to fraction form
    176,000.30/263,806.05 = 97,171.10/x
  3. Step 3: Cross multiply
    176,000.30x = 263,806.05 × 97,171.10
  4. Step 4: Simplify right side
    176,000.30x = 25,634,324,065.16
  5. Step 5: Solve for x
    x = 25,634,324,065.16/176,000.30
  6. Step 6: Final answer
    x = 145,649.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.