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Finding the Fourth Proportional to 204,295.34, 306,443.01 and 64,064.90

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Solution

The fourth proportional to 204,295.34, 306,443.01 and 64,064.90 is: 96,097.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    204,295.34 : 306,443.01 = 64,064.90 : x
  2. Step 2: Convert to fraction form
    204,295.34/306,443.01 = 64,064.90/x
  3. Step 3: Cross multiply
    204,295.34x = 306,443.01 × 64,064.90
  4. Step 4: Simplify right side
    204,295.34x = 19,632,240,791.35
  5. Step 5: Solve for x
    x = 19,632,240,791.35/204,295.34
  6. Step 6: Final answer
    x = 96,097.35

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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.