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Finding the Fourth Proportional to 176,552.16, 264,772 and 58,201.44

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Solution

The fourth proportional to 176,552.16, 264,772 and 58,201.44 is: 87,283.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    176,552.16 : 264,772 = 58,201.44 : x
  2. Step 2: Convert to fraction form
    176,552.16/264,772 = 58,201.44/x
  3. Step 3: Cross multiply
    176,552.16x = 264,772 × 58,201.44
  4. Step 4: Simplify right side
    176,552.16x = 15,410,111,671.68
  5. Step 5: Solve for x
    x = 15,410,111,671.68/176,552.16
  6. Step 6: Final answer
    x = 87,283.62

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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.