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Finding the Fourth Proportional to 375,103.04, 517,643.08 and 205,348.10

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Solution

The fourth proportional to 375,103.04, 517,643.08 and 205,348.10 is: 283,380.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    375,103.04 : 517,643.08 = 205,348.10 : x
  2. Step 2: Convert to fraction form
    375,103.04/517,643.08 = 205,348.10/x
  3. Step 3: Cross multiply
    375,103.04x = 517,643.08 × 205,348.10
  4. Step 4: Simplify right side
    375,103.04x = 106,297,022,956.15
  5. Step 5: Solve for x
    x = 106,297,022,956.15/375,103.04
  6. Step 6: Final answer
    x = 283,380.86

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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.