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Finding the Fourth Proportional to 118,643.10, 178,023.06 and 55,467.54

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Solution

The fourth proportional to 118,643.10, 178,023.06 and 55,467.54 is: 83,228.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,643.10 : 178,023.06 = 55,467.54 : x
  2. Step 2: Convert to fraction form
    118,643.10/178,023.06 = 55,467.54/x
  3. Step 3: Cross multiply
    118,643.10x = 178,023.06 × 55,467.54
  4. Step 4: Simplify right side
    118,643.10x = 9,874,501,201.47
  5. Step 5: Solve for x
    x = 9,874,501,201.47/118,643.10
  6. Step 6: Final answer
    x = 83,228.62

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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.