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Finding the Fourth Proportional to 102,128.67, 140,880.04 and 61,282.23

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Solution

The fourth proportional to 102,128.67, 140,880.04 and 61,282.23 is: 84,534.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,128.67 : 140,880.04 = 61,282.23 : x
  2. Step 2: Convert to fraction form
    102,128.67/140,880.04 = 61,282.23/x
  3. Step 3: Cross multiply
    102,128.67x = 140,880.04 × 61,282.23
  4. Step 4: Simplify right side
    102,128.67x = 8,633,443,013.69
  5. Step 5: Solve for x
    x = 8,633,443,013.69/102,128.67
  6. Step 6: Final answer
    x = 84,534.96

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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.