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Finding the Fourth Proportional to 105,834.65, 146,051.37 and 57,435.53

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Solution

The fourth proportional to 105,834.65, 146,051.37 and 57,435.53 is: 79,260.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,834.65 : 146,051.37 = 57,435.53 : x
  2. Step 2: Convert to fraction form
    105,834.65/146,051.37 = 57,435.53/x
  3. Step 3: Cross multiply
    105,834.65x = 146,051.37 × 57,435.53
  4. Step 4: Simplify right side
    105,834.65x = 8,388,537,112.92
  5. Step 5: Solve for x
    x = 8,388,537,112.92/105,834.65
  6. Step 6: Final answer
    x = 79,260.79

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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.