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Finding the Fourth Proportional to 248,571, 343,072.44 and 146,590.20

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Solution

The fourth proportional to 248,571, 343,072.44 and 146,590.20 is: 202,320.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,571 : 343,072.44 = 146,590.20 : x
  2. Step 2: Convert to fraction form
    248,571/343,072.44 = 146,590.20/x
  3. Step 3: Cross multiply
    248,571x = 343,072.44 × 146,590.20
  4. Step 4: Simplify right side
    248,571x = 50,291,057,594.09
  5. Step 5: Solve for x
    x = 50,291,057,594.09/248,571
  6. Step 6: Final answer
    x = 202,320.70

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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.