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Finding the Fourth Proportional to 412,186.37, 618,368.51 and 127,871.37

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Solution

The fourth proportional to 412,186.37, 618,368.51 and 127,871.37 is: 191,834.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,186.37 : 618,368.51 = 127,871.37 : x
  2. Step 2: Convert to fraction form
    412,186.37/618,368.51 = 127,871.37/x
  3. Step 3: Cross multiply
    412,186.37x = 618,368.51 × 127,871.37
  4. Step 4: Simplify right side
    412,186.37x = 79,071,628,858.24
  5. Step 5: Solve for x
    x = 79,071,628,858.24/412,186.37
  6. Step 6: Final answer
    x = 191,834.65

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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.