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Finding the Fourth Proportional to 208,004.00, 312,006.92 and 65,849.96

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Solution

The fourth proportional to 208,004.00, 312,006.92 and 65,849.96 is: 98,775.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,004.00 : 312,006.92 = 65,849.96 : x
  2. Step 2: Convert to fraction form
    208,004.00/312,006.92 = 65,849.96/x
  3. Step 3: Cross multiply
    208,004.00x = 312,006.92 × 65,849.96
  4. Step 4: Simplify right side
    208,004.00x = 20,545,643,652.49
  5. Step 5: Solve for x
    x = 20,545,643,652.49/208,004.00
  6. Step 6: Final answer
    x = 98,775.24

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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.