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Finding the Fourth Proportional to 146,782.61, 220,261.39 and 53,295.65

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Solution

The fourth proportional to 146,782.61, 220,261.39 and 53,295.65 is: 79,975.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,782.61 : 220,261.39 = 53,295.65 : x
  2. Step 2: Convert to fraction form
    146,782.61/220,261.39 = 53,295.65/x
  3. Step 3: Cross multiply
    146,782.61x = 220,261.39 × 53,295.65
  4. Step 4: Simplify right side
    146,782.61x = 11,738,972,582.17
  5. Step 5: Solve for x
    x = 11,738,972,582.17/146,782.61
  6. Step 6: Final answer
    x = 79,975.23

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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.