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Finding the Fourth Proportional to 106,494.48, 146,969.64 and 61,782.48

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Solution

The fourth proportional to 106,494.48, 146,969.64 and 61,782.48 is: 85,264.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,494.48 : 146,969.64 = 61,782.48 : x
  2. Step 2: Convert to fraction form
    106,494.48/146,969.64 = 61,782.48/x
  3. Step 3: Cross multiply
    106,494.48x = 146,969.64 × 61,782.48
  4. Step 4: Simplify right side
    106,494.48x = 9,080,148,843.91
  5. Step 5: Solve for x
    x = 9,080,148,843.91/106,494.48
  6. Step 6: Final answer
    x = 85,264.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.