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Finding the Fourth Proportional to 206,745.47, 310,180.48 and 64,585.00

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Solution

The fourth proportional to 206,745.47, 310,180.48 and 64,585.00 is: 96,896.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    206,745.47 : 310,180.48 = 64,585.00 : x
  2. Step 2: Convert to fraction form
    206,745.47/310,180.48 = 64,585.00/x
  3. Step 3: Cross multiply
    206,745.47x = 310,180.48 × 64,585.00
  4. Step 4: Simplify right side
    206,745.47x = 20,033,006,890.35
  5. Step 5: Solve for x
    x = 20,033,006,890.35/206,745.47
  6. Step 6: Final answer
    x = 96,896.96

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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.