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Finding the Fourth Proportional to 176,266.56, 264,360.96 and 51,617.28

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Solution

The fourth proportional to 176,266.56, 264,360.96 and 51,617.28 is: 77,414.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,266.56 : 264,360.96 = 51,617.28 : x
  2. Step 2: Convert to fraction form
    176,266.56/264,360.96 = 51,617.28/x
  3. Step 3: Cross multiply
    176,266.56x = 264,360.96 × 51,617.28
  4. Step 4: Simplify right side
    176,266.56x = 13,645,593,693.39
  5. Step 5: Solve for x
    x = 13,645,593,693.39/176,266.56
  6. Step 6: Final answer
    x = 77,414.53

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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.