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Finding the Fourth Proportional to 204,046, 306,086.64 and 56,302

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Solution

The fourth proportional to 204,046, 306,086.64 and 56,302 is: 84,457.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,046 : 306,086.64 = 56,302 : x
  2. Step 2: Convert to fraction form
    204,046/306,086.64 = 56,302/x
  3. Step 3: Cross multiply
    204,046x = 306,086.64 × 56,302
  4. Step 4: Simplify right side
    204,046x = 17,233,290,005.28
  5. Step 5: Solve for x
    x = 17,233,290,005.28/204,046
  6. Step 6: Final answer
    x = 84,457.87

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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.