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Finding the Fourth Proportional to 176,152, 264,228 and 51,493

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Solution

The fourth proportional to 176,152, 264,228 and 51,493 is: 77,239.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,152 : 264,228 = 51,493 : x
  2. Step 2: Convert to fraction form
    176,152/264,228 = 51,493/x
  3. Step 3: Cross multiply
    176,152x = 264,228 × 51,493
  4. Step 4: Simplify right side
    176,152x = 13,605,892,404
  5. Step 5: Solve for x
    x = 13,605,892,404/176,152
  6. Step 6: Final answer
    x = 77,239.50

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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.