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Finding the Fourth Proportional to 176,696.64, 265,083.84 and 76,872.48

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Solution

The fourth proportional to 176,696.64, 265,083.84 and 76,872.48 is: 115,325.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,696.64 : 265,083.84 = 76,872.48 : x
  2. Step 2: Convert to fraction form
    176,696.64/265,083.84 = 76,872.48/x
  3. Step 3: Cross multiply
    176,696.64x = 265,083.84 × 76,872.48
  4. Step 4: Simplify right side
    176,696.64x = 20,377,652,188.72
  5. Step 5: Solve for x
    x = 20,377,652,188.72/176,696.64
  6. Step 6: Final answer
    x = 115,325.63

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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.