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Finding the Fourth Proportional to 106,782.33, 147,355.38 and 61,474.80

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Solution

The fourth proportional to 106,782.33, 147,355.38 and 61,474.80 is: 84,832.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,782.33 : 147,355.38 = 61,474.80 : x
  2. Step 2: Convert to fraction form
    106,782.33/147,355.38 = 61,474.80/x
  3. Step 3: Cross multiply
    106,782.33x = 147,355.38 × 61,474.80
  4. Step 4: Simplify right side
    106,782.33x = 9,058,642,514.42
  5. Step 5: Solve for x
    x = 9,058,642,514.42/106,782.33
  6. Step 6: Final answer
    x = 84,832.79

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