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Finding the Fourth Proportional to 86,137, 129,200.02 and 26,971.36

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Solution

The fourth proportional to 86,137, 129,200.02 and 26,971.36 is: 40,455.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,137 : 129,200.02 = 26,971.36 : x
  2. Step 2: Convert to fraction form
    86,137/129,200.02 = 26,971.36/x
  3. Step 3: Cross multiply
    86,137x = 129,200.02 × 26,971.36
  4. Step 4: Simplify right side
    86,137x = 3,484,700,251.43
  5. Step 5: Solve for x
    x = 3,484,700,251.43/86,137
  6. Step 6: Final answer
    x = 40,455.32

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.