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Finding the Fourth Proportional to 146,365.14, 219,621.42 and 57,682.30

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Solution

The fourth proportional to 146,365.14, 219,621.42 and 57,682.30 is: 86,552.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,365.14 : 219,621.42 = 57,682.30 : x
  2. Step 2: Convert to fraction form
    146,365.14/219,621.42 = 57,682.30/x
  3. Step 3: Cross multiply
    146,365.14x = 219,621.42 × 57,682.30
  4. Step 4: Simplify right side
    146,365.14x = 12,668,268,634.87
  5. Step 5: Solve for x
    x = 12,668,268,634.87/146,365.14
  6. Step 6: Final answer
    x = 86,552.50

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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.