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Finding the Fourth Proportional to 103,760.90, 143,184.17 and 61,323.38

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Solution

The fourth proportional to 103,760.90, 143,184.17 and 61,323.38 is: 84,622.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,760.90 : 143,184.17 = 61,323.38 : x
  2. Step 2: Convert to fraction form
    103,760.90/143,184.17 = 61,323.38/x
  3. Step 3: Cross multiply
    103,760.90x = 143,184.17 × 61,323.38
  4. Step 4: Simplify right side
    103,760.90x = 8,780,537,266.89
  5. Step 5: Solve for x
    x = 8,780,537,266.89/103,760.90
  6. Step 6: Final answer
    x = 84,622.79

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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.