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Finding the Fourth Proportional to 102,662.38, 141,664.08 and 57,336.76

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Solution

The fourth proportional to 102,662.38, 141,664.08 and 57,336.76 is: 79,119.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,662.38 : 141,664.08 = 57,336.76 : x
  2. Step 2: Convert to fraction form
    102,662.38/141,664.08 = 57,336.76/x
  3. Step 3: Cross multiply
    102,662.38x = 141,664.08 × 57,336.76
  4. Step 4: Simplify right side
    102,662.38x = 8,122,559,355.58
  5. Step 5: Solve for x
    x = 8,122,559,355.58/102,662.38
  6. Step 6: Final answer
    x = 79,119.14

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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.