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Finding the Fourth Proportional to 204,406.48, 306,659.09 and 64,165.11

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Solution

The fourth proportional to 204,406.48, 306,659.09 and 64,165.11 is: 96,263.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,406.48 : 306,659.09 = 64,165.11 : x
  2. Step 2: Convert to fraction form
    204,406.48/306,659.09 = 64,165.11/x
  3. Step 3: Cross multiply
    204,406.48x = 306,659.09 × 64,165.11
  4. Step 4: Simplify right side
    204,406.48x = 19,676,814,242.35
  5. Step 5: Solve for x
    x = 19,676,814,242.35/204,406.48
  6. Step 6: Final answer
    x = 96,263.16

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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.