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Finding the Fourth Proportional to 116,033.92, 160,155.84 and 71,296

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Solution

The fourth proportional to 116,033.92, 160,155.84 and 71,296 is: 98,406.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,033.92 : 160,155.84 = 71,296 : x
  2. Step 2: Convert to fraction form
    116,033.92/160,155.84 = 71,296/x
  3. Step 3: Cross multiply
    116,033.92x = 160,155.84 × 71,296
  4. Step 4: Simplify right side
    116,033.92x = 11,418,470,768.64
  5. Step 5: Solve for x
    x = 11,418,470,768.64/116,033.92
  6. Step 6: Final answer
    x = 98,406.32

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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.