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Finding the Fourth Proportional to 176,156, 264,234 and 51,497

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Solution

The fourth proportional to 176,156, 264,234 and 51,497 is: 77,245.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,156 : 264,234 = 51,497 : x
  2. Step 2: Convert to fraction form
    176,156/264,234 = 51,497/x
  3. Step 3: Cross multiply
    176,156x = 264,234 × 51,497
  4. Step 4: Simplify right side
    176,156x = 13,607,258,298
  5. Step 5: Solve for x
    x = 13,607,258,298/176,156
  6. Step 6: Final answer
    x = 77,245.50

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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.