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Finding the Fourth Proportional to 103,874.22, 143,323.29 and 63,584.82

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Solution

The fourth proportional to 103,874.22, 143,323.29 and 63,584.82 is: 87,732.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,874.22 : 143,323.29 = 63,584.82 : x
  2. Step 2: Convert to fraction form
    103,874.22/143,323.29 = 63,584.82/x
  3. Step 3: Cross multiply
    103,874.22x = 143,323.29 × 63,584.82
  4. Step 4: Simplify right side
    103,874.22x = 9,113,185,596.46
  5. Step 5: Solve for x
    x = 9,113,185,596.46/103,874.22
  6. Step 6: Final answer
    x = 87,732.89

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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.