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Finding the Fourth Proportional to 116,185.65, 160,347.36 and 65,198.44

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Solution

The fourth proportional to 116,185.65, 160,347.36 and 65,198.44 is: 89,980.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,185.65 : 160,347.36 = 65,198.44 : x
  2. Step 2: Convert to fraction form
    116,185.65/160,347.36 = 65,198.44/x
  3. Step 3: Cross multiply
    116,185.65x = 160,347.36 × 65,198.44
  4. Step 4: Simplify right side
    116,185.65x = 10,454,397,730.12
  5. Step 5: Solve for x
    x = 10,454,397,730.12/116,185.65
  6. Step 6: Final answer
    x = 89,980.11

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1.5x scale

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.