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Finding the Fourth Proportional to 412,177.73, 618,236.98 and 127,860.91

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Solution

The fourth proportional to 412,177.73, 618,236.98 and 127,860.91 is: 191,782.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,177.73 : 618,236.98 = 127,860.91 : x
  2. Step 2: Convert to fraction form
    412,177.73/618,236.98 = 127,860.91/x
  3. Step 3: Cross multiply
    412,177.73x = 618,236.98 × 127,860.91
  4. Step 4: Simplify right side
    412,177.73x = 79,048,340,607.11
  5. Step 5: Solve for x
    x = 79,048,340,607.11/412,177.73
  6. Step 6: Final answer
    x = 191,782.17

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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.