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Finding the Fourth Proportional to 102,674.38, 141,689.13 and 57,353.05

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Solution

The fourth proportional to 102,674.38, 141,689.13 and 57,353.05 is: 79,146.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,674.38 : 141,689.13 = 57,353.05 : x
  2. Step 2: Convert to fraction form
    102,674.38/141,689.13 = 57,353.05/x
  3. Step 3: Cross multiply
    102,674.38x = 141,689.13 × 57,353.05
  4. Step 4: Simplify right side
    102,674.38x = 8,126,303,757.35
  5. Step 5: Solve for x
    x = 8,126,303,757.35/102,674.38
  6. Step 6: Final answer
    x = 79,146.36

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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.