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Finding the Fourth Proportional to 200,753.86, 301,159.38 and 65,789.02

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Solution

The fourth proportional to 200,753.86, 301,159.38 and 65,789.02 is: 98,692.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,753.86 : 301,159.38 = 65,789.02 : x
  2. Step 2: Convert to fraction form
    200,753.86/301,159.38 = 65,789.02/x
  3. Step 3: Cross multiply
    200,753.86x = 301,159.38 × 65,789.02
  4. Step 4: Simplify right side
    200,753.86x = 19,812,980,474.01
  5. Step 5: Solve for x
    x = 19,812,980,474.01/200,753.86
  6. Step 6: Final answer
    x = 98,692.90

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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.