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Finding the Fourth Proportional to 182,780.38, 252,260.40 and 102,212.40

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Solution

The fourth proportional to 182,780.38, 252,260.40 and 102,212.40 is: 141,066.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    182,780.38 : 252,260.40 = 102,212.40 : x
  2. Step 2: Convert to fraction form
    182,780.38/252,260.40 = 102,212.40/x
  3. Step 3: Cross multiply
    182,780.38x = 252,260.40 × 102,212.40
  4. Step 4: Simplify right side
    182,780.38x = 25,784,140,908.96
  5. Step 5: Solve for x
    x = 25,784,140,908.96/182,780.38
  6. Step 6: Final answer
    x = 141,066.24

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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.