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Finding the Fourth Proportional to 204,036, 306,071.64 and 56,292

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Solution

The fourth proportional to 204,036, 306,071.64 and 56,292 is: 84,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,036 : 306,071.64 = 56,292 : x
  2. Step 2: Convert to fraction form
    204,036/306,071.64 = 56,292/x
  3. Step 3: Cross multiply
    204,036x = 306,071.64 × 56,292
  4. Step 4: Simplify right side
    204,036x = 17,229,384,758.88
  5. Step 5: Solve for x
    x = 17,229,384,758.88/204,036
  6. Step 6: Final answer
    x = 84,442.87

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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.