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Finding the Fourth Proportional to 200,618.10, 301,043.80 and 82,374.30

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Solution

The fourth proportional to 200,618.10, 301,043.80 and 82,374.30 is: 123,609.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,618.10 : 301,043.80 = 82,374.30 : x
  2. Step 2: Convert to fraction form
    200,618.10/301,043.80 = 82,374.30/x
  3. Step 3: Cross multiply
    200,618.10x = 301,043.80 × 82,374.30
  4. Step 4: Simplify right side
    200,618.10x = 24,798,272,294.34
  5. Step 5: Solve for x
    x = 24,798,272,294.34/200,618.10
  6. Step 6: Final answer
    x = 123,609.35

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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.