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Finding the Fourth Proportional to 176,266.32, 264,441.08 and 57,938

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Solution

The fourth proportional to 176,266.32, 264,441.08 and 57,938 is: 86,920.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,266.32 : 264,441.08 = 57,938 : x
  2. Step 2: Convert to fraction form
    176,266.32/264,441.08 = 57,938/x
  3. Step 3: Cross multiply
    176,266.32x = 264,441.08 × 57,938
  4. Step 4: Simplify right side
    176,266.32x = 15,321,187,293.04
  5. Step 5: Solve for x
    x = 15,321,187,293.04/176,266.32
  6. Step 6: Final answer
    x = 86,920.67

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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.