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Finding the Fourth Proportional to 130,647, 180,287.64 and 76,934.28

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Solution

The fourth proportional to 130,647, 180,287.64 and 76,934.28 is: 106,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,647 : 180,287.64 = 76,934.28 : x
  2. Step 2: Convert to fraction form
    130,647/180,287.64 = 76,934.28/x
  3. Step 3: Cross multiply
    130,647x = 180,287.64 × 76,934.28
  4. Step 4: Simplify right side
    130,647x = 13,870,299,776.30
  5. Step 5: Solve for x
    x = 13,870,299,776.30/130,647
  6. Step 6: Final answer
    x = 106,166.23

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