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Finding the Fourth Proportional to 146,992.50, 220,417.42 and 86,219.37

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Solution

The fourth proportional to 146,992.50, 220,417.42 and 86,219.37 is: 129,287.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,992.50 : 220,417.42 = 86,219.37 : x
  2. Step 2: Convert to fraction form
    146,992.50/220,417.42 = 86,219.37/x
  3. Step 3: Cross multiply
    146,992.50x = 220,417.42 × 86,219.37
  4. Step 4: Simplify right side
    146,992.50x = 19,004,251,089.43
  5. Step 5: Solve for x
    x = 19,004,251,089.43/146,992.50
  6. Step 6: Final answer
    x = 129,287.22

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Why These Related Problems?

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