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Finding the Fourth Proportional to 150,200.06, 207,322.20 and 86,580.20

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Solution

The fourth proportional to 150,200.06, 207,322.20 and 86,580.20 is: 119,507.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    150,200.06 : 207,322.20 = 86,580.20 : x
  2. Step 2: Convert to fraction form
    150,200.06/207,322.20 = 86,580.20/x
  3. Step 3: Cross multiply
    150,200.06x = 207,322.20 × 86,580.20
  4. Step 4: Simplify right side
    150,200.06x = 17,949,997,540.44
  5. Step 5: Solve for x
    x = 17,949,997,540.44/150,200.06
  6. Step 6: Final answer
    x = 119,507.26

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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.