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Finding the Fourth Proportional to 204,048, 306,089.64 and 56,304

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Solution

The fourth proportional to 204,048, 306,089.64 and 56,304 is: 84,460.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,048 : 306,089.64 = 56,304 : x
  2. Step 2: Convert to fraction form
    204,048/306,089.64 = 56,304/x
  3. Step 3: Cross multiply
    204,048x = 306,089.64 × 56,304
  4. Step 4: Simplify right side
    204,048x = 17,234,071,090.56
  5. Step 5: Solve for x
    x = 17,234,071,090.56/204,048
  6. Step 6: Final answer
    x = 84,460.87

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.