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Finding the Fourth Proportional to 197,544, 272,612.64 and 108,121.92

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Solution

The fourth proportional to 197,544, 272,612.64 and 108,121.92 is: 149,209.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,544 : 272,612.64 = 108,121.92 : x
  2. Step 2: Convert to fraction form
    197,544/272,612.64 = 108,121.92/x
  3. Step 3: Cross multiply
    197,544x = 272,612.64 × 108,121.92
  4. Step 4: Simplify right side
    197,544x = 29,475,402,053.07
  5. Step 5: Solve for x
    x = 29,475,402,053.07/197,544
  6. Step 6: Final answer
    x = 149,209.30

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.