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Finding the Fourth Proportional to 178,105.48, 245,785.67 and 96,433.48

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Solution

The fourth proportional to 178,105.48, 245,785.67 and 96,433.48 is: 133,078.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178,105.48 : 245,785.67 = 96,433.48 : x
  2. Step 2: Convert to fraction form
    178,105.48/245,785.67 = 96,433.48/x
  3. Step 3: Cross multiply
    178,105.48x = 245,785.67 × 96,433.48
  4. Step 4: Simplify right side
    178,105.48x = 23,701,966,395.60
  5. Step 5: Solve for x
    x = 23,701,966,395.60/178,105.48
  6. Step 6: Final answer
    x = 133,078.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.