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Finding the Fourth Proportional to 103,635.64, 143,009.31 and 61,185.97

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Solution

The fourth proportional to 103,635.64, 143,009.31 and 61,185.97 is: 84,431.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635.64 : 143,009.31 = 61,185.97 : x
  2. Step 2: Convert to fraction form
    103,635.64/143,009.31 = 61,185.97/x
  3. Step 3: Cross multiply
    103,635.64x = 143,009.31 × 61,185.97
  4. Step 4: Simplify right side
    103,635.64x = 8,750,163,351.38
  5. Step 5: Solve for x
    x = 8,750,163,351.38/103,635.64
  6. Step 6: Final answer
    x = 84,431.99

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Why These Related Problems?

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