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Finding the Fourth Proportional to 176,493.36, 264,591.18 and 76,578.24

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Solution

The fourth proportional to 176,493.36, 264,591.18 and 76,578.24 is: 114,802.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,493.36 : 264,591.18 = 76,578.24 : x
  2. Step 2: Convert to fraction form
    176,493.36/264,591.18 = 76,578.24/x
  3. Step 3: Cross multiply
    176,493.36x = 264,591.18 × 76,578.24
  4. Step 4: Simplify right side
    176,493.36x = 20,261,926,883.92
  5. Step 5: Solve for x
    x = 20,261,926,883.92/176,493.36
  6. Step 6: Final answer
    x = 114,802.77

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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.