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Finding the Fourth Proportional to 245,245.30, 338,440.74 and 148,451.38

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Solution

The fourth proportional to 245,245.30, 338,440.74 and 148,451.38 is: 204,864.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    245,245.30 : 338,440.74 = 148,451.38 : x
  2. Step 2: Convert to fraction form
    245,245.30/338,440.74 = 148,451.38/x
  3. Step 3: Cross multiply
    245,245.30x = 338,440.74 × 148,451.38
  4. Step 4: Simplify right side
    245,245.30x = 50,241,994,901.22
  5. Step 5: Solve for x
    x = 50,241,994,901.22/245,245.30
  6. Step 6: Final answer
    x = 204,864.25

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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.