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Finding the Fourth Proportional to 197,957.88, 296,936.46 and 55,802.88

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Solution

The fourth proportional to 197,957.88, 296,936.46 and 55,802.88 is: 83,704.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,957.88 : 296,936.46 = 55,802.88 : x
  2. Step 2: Convert to fraction form
    197,957.88/296,936.46 = 55,802.88/x
  3. Step 3: Cross multiply
    197,957.88x = 296,936.46 × 55,802.88
  4. Step 4: Simplify right side
    197,957.88x = 16,569,909,645.00
  5. Step 5: Solve for x
    x = 16,569,909,645.00/197,957.88
  6. Step 6: Final answer
    x = 83,704.22

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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.