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Finding the Fourth Proportional to 176,553, 264,829.50 and 45,225

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Solution

The fourth proportional to 176,553, 264,829.50 and 45,225 is: 67,837.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,553 : 264,829.50 = 45,225 : x
  2. Step 2: Convert to fraction form
    176,553/264,829.50 = 45,225/x
  3. Step 3: Cross multiply
    176,553x = 264,829.50 × 45,225
  4. Step 4: Simplify right side
    176,553x = 11,976,914,137.50
  5. Step 5: Solve for x
    x = 11,976,914,137.50/176,553
  6. Step 6: Final answer
    x = 67,837.50

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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.