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Finding the Fourth Proportional to 102,662.67, 141,675.57 and 60,221.91

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Solution

The fourth proportional to 102,662.67, 141,675.57 and 60,221.91 is: 83,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662.67 : 141,675.57 = 60,221.91 : x
  2. Step 2: Convert to fraction form
    102,662.67/141,675.57 = 60,221.91/x
  3. Step 3: Cross multiply
    102,662.67x = 141,675.57 × 60,221.91
  4. Step 4: Simplify right side
    102,662.67x = 8,531,973,425.74
  5. Step 5: Solve for x
    x = 8,531,973,425.74/102,662.67
  6. Step 6: Final answer
    x = 83,106.87

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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.