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Finding the Fourth Proportional to 208,534.00, 312,825.32 and 75,476.92

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Solution

The fourth proportional to 208,534.00, 312,825.32 and 75,476.92 is: 113,224.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,534.00 : 312,825.32 = 75,476.92 : x
  2. Step 2: Convert to fraction form
    208,534.00/312,825.32 = 75,476.92/x
  3. Step 3: Cross multiply
    208,534.00x = 312,825.32 × 75,476.92
  4. Step 4: Simplify right side
    208,534.00x = 23,611,091,786.31
  5. Step 5: Solve for x
    x = 23,611,091,786.31/208,534.00
  6. Step 6: Final answer
    x = 113,224.18

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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.