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Finding the Fourth Proportional to 200,909.94, 301,330.21 and 56,825.82

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Solution

The fourth proportional to 200,909.94, 301,330.21 and 56,825.82 is: 85,228.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    200,909.94 : 301,330.21 = 56,825.82 : x
  2. Step 2: Convert to fraction form
    200,909.94/301,330.21 = 56,825.82/x
  3. Step 3: Cross multiply
    200,909.94x = 301,330.21 × 56,825.82
  4. Step 4: Simplify right side
    200,909.94x = 17,123,336,274.02
  5. Step 5: Solve for x
    x = 17,123,336,274.02/200,909.94
  6. Step 6: Final answer
    x = 85,228.92

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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.