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Finding the Fourth Proportional to 106,051.19, 146,351.59 and 57,653.22

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Solution

The fourth proportional to 106,051.19, 146,351.59 and 57,653.22 is: 79,561.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,051.19 : 146,351.59 = 57,653.22 : x
  2. Step 2: Convert to fraction form
    106,051.19/146,351.59 = 57,653.22/x
  3. Step 3: Cross multiply
    106,051.19x = 146,351.59 × 57,653.22
  4. Step 4: Simplify right side
    106,051.19x = 8,437,640,415.62
  5. Step 5: Solve for x
    x = 8,437,640,415.62/106,051.19
  6. Step 6: Final answer
    x = 79,561.96

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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.