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Finding the Fourth Proportional to 146,486.67, 219,710.56 and 41,314.11

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Solution

The fourth proportional to 146,486.67, 219,710.56 and 41,314.11 is: 61,965.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,486.67 : 219,710.56 = 41,314.11 : x
  2. Step 2: Convert to fraction form
    146,486.67/219,710.56 = 41,314.11/x
  3. Step 3: Cross multiply
    146,486.67x = 219,710.56 × 41,314.11
  4. Step 4: Simplify right side
    146,486.67x = 9,077,145,394.27
  5. Step 5: Solve for x
    x = 9,077,145,394.27/146,486.67
  6. Step 6: Final answer
    x = 61,965.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.