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Finding the Fourth Proportional to 102,536.38, 141,500.64 and 57,216.34

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Solution

The fourth proportional to 102,536.38, 141,500.64 and 57,216.34 is: 78,958.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,536.38 : 141,500.64 = 57,216.34 : x
  2. Step 2: Convert to fraction form
    102,536.38/141,500.64 = 57,216.34/x
  3. Step 3: Cross multiply
    102,536.38x = 141,500.64 × 57,216.34
  4. Step 4: Simplify right side
    102,536.38x = 8,096,148,728.46
  5. Step 5: Solve for x
    x = 8,096,148,728.46/102,536.38
  6. Step 6: Final answer
    x = 78,958.79

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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.