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Finding the Fourth Proportional to 102,204, 141,043.68 and 57,492

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Solution

The fourth proportional to 102,204, 141,043.68 and 57,492 is: 79,340.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,204 : 141,043.68 = 57,492 : x
  2. Step 2: Convert to fraction form
    102,204/141,043.68 = 57,492/x
  3. Step 3: Cross multiply
    102,204x = 141,043.68 × 57,492
  4. Step 4: Simplify right side
    102,204x = 8,108,883,250.56
  5. Step 5: Solve for x
    x = 8,108,883,250.56/102,204
  6. Step 6: Final answer
    x = 79,340.18

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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.