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Finding the Fourth Proportional to 376,159.70, 519,101.01 and 206,395.10

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Solution

The fourth proportional to 376,159.70, 519,101.01 and 206,395.10 is: 284,825.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    376,159.70 : 519,101.01 = 206,395.10 : x
  2. Step 2: Convert to fraction form
    376,159.70/519,101.01 = 206,395.10/x
  3. Step 3: Cross multiply
    376,159.70x = 519,101.01 × 206,395.10
  4. Step 4: Simplify right side
    376,159.70x = 107,139,904,869.05
  5. Step 5: Solve for x
    x = 107,139,904,869.05/376,159.70
  6. Step 6: Final answer
    x = 284,825.58

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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.