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Finding the Fourth Proportional to 176,434.16, 264,480.72 and 113,076.76

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Solution

The fourth proportional to 176,434.16, 264,480.72 and 113,076.76 is: 169,505.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,434.16 : 264,480.72 = 113,076.76 : x
  2. Step 2: Convert to fraction form
    176,434.16/264,480.72 = 113,076.76/x
  3. Step 3: Cross multiply
    176,434.16x = 264,480.72 × 113,076.76
  4. Step 4: Simplify right side
    176,434.16x = 29,906,622,900.07
  5. Step 5: Solve for x
    x = 29,906,622,900.07/176,434.16
  6. Step 6: Final answer
    x = 169,505.85

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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.