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Finding the Fourth Proportional to 106,782.58, 147,360.21 and 61,463.38

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Solution

The fourth proportional to 106,782.58, 147,360.21 and 61,463.38 is: 84,819.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,782.58 : 147,360.21 = 61,463.38 : x
  2. Step 2: Convert to fraction form
    106,782.58/147,360.21 = 61,463.38/x
  3. Step 3: Cross multiply
    106,782.58x = 147,360.21 × 61,463.38
  4. Step 4: Simplify right side
    106,782.58x = 9,057,256,584.11
  5. Step 5: Solve for x
    x = 9,057,256,584.11/106,782.58
  6. Step 6: Final answer
    x = 84,819.61

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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.