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Finding the Fourth Proportional to 182,874.10, 252,389.49 and 102,306.10

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Solution

The fourth proportional to 182,874.10, 252,389.49 and 102,306.10 is: 141,195.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,874.10 : 252,389.49 = 102,306.10 : x
  2. Step 2: Convert to fraction form
    182,874.10/252,389.49 = 102,306.10/x
  3. Step 3: Cross multiply
    182,874.10x = 252,389.49 × 102,306.10
  4. Step 4: Simplify right side
    182,874.10x = 25,820,984,402.89
  5. Step 5: Solve for x
    x = 25,820,984,402.89/182,874.10
  6. Step 6: Final answer
    x = 141,195.41

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1.5x scale

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.