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Finding the Fourth Proportional to 364,090.62, 546,243.46 and 186,721.90

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Solution

The fourth proportional to 364,090.62, 546,243.46 and 186,721.90 is: 280,138.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,090.62 : 546,243.46 = 186,721.90 : x
  2. Step 2: Convert to fraction form
    364,090.62/546,243.46 = 186,721.90/x
  3. Step 3: Cross multiply
    364,090.62x = 546,243.46 × 186,721.90
  4. Step 4: Simplify right side
    364,090.62x = 101,995,616,713.77
  5. Step 5: Solve for x
    x = 101,995,616,713.77/364,090.62
  6. Step 6: Final answer
    x = 280,138.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.