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Finding the Fourth Proportional to 246,378, 340,001.64 and 133,200.75

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Solution

The fourth proportional to 246,378, 340,001.64 and 133,200.75 is: 183,817.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    246,378 : 340,001.64 = 133,200.75 : x
  2. Step 2: Convert to fraction form
    246,378/340,001.64 = 133,200.75/x
  3. Step 3: Cross multiply
    246,378x = 340,001.64 × 133,200.75
  4. Step 4: Simplify right side
    246,378x = 45,288,473,449.23
  5. Step 5: Solve for x
    x = 45,288,473,449.23/246,378
  6. Step 6: Final answer
    x = 183,817.04

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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.