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Finding the Fourth Proportional to 237,963.77, 357,262.43 and 138,195.57

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Solution

The fourth proportional to 237,963.77, 357,262.43 and 138,195.57 is: 207,477.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    237,963.77 : 357,262.43 = 138,195.57 : x
  2. Step 2: Convert to fraction form
    237,963.77/357,262.43 = 138,195.57/x
  3. Step 3: Cross multiply
    237,963.77x = 357,262.43 × 138,195.57
  4. Step 4: Simplify right side
    237,963.77x = 49,372,085,153.44
  5. Step 5: Solve for x
    x = 49,372,085,153.44/237,963.77
  6. Step 6: Final answer
    x = 207,477.32

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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.