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Finding the Fourth Proportional to 204,507.70, 306,761.55 and 64,266.10

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Solution

The fourth proportional to 204,507.70, 306,761.55 and 64,266.10 is: 96,399.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,507.70 : 306,761.55 = 64,266.10 : x
  2. Step 2: Convert to fraction form
    204,507.70/306,761.55 = 64,266.10/x
  3. Step 3: Cross multiply
    204,507.70x = 306,761.55 × 64,266.10
  4. Step 4: Simplify right side
    204,507.70x = 19,714,368,448.46
  5. Step 5: Solve for x
    x = 19,714,368,448.46/204,507.70
  6. Step 6: Final answer
    x = 96,399.15

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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.