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Finding the Fourth Proportional to 142,822.58, 213,969 and 71,661.65

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Solution

The fourth proportional to 142,822.58, 213,969 and 71,661.65 is: 107,359.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,822.58 : 213,969 = 71,661.65 : x
  2. Step 2: Convert to fraction form
    142,822.58/213,969 = 71,661.65/x
  3. Step 3: Cross multiply
    142,822.58x = 213,969 × 71,661.65
  4. Step 4: Simplify right side
    142,822.58x = 15,333,371,588.85
  5. Step 5: Solve for x
    x = 15,333,371,588.85/142,822.58
  6. Step 6: Final answer
    x = 107,359.58

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