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Finding the Fourth Proportional to 412,097.68, 618,235.33 and 127,782.51

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Solution

The fourth proportional to 412,097.68, 618,235.33 and 127,782.51 is: 191,701.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,097.68 : 618,235.33 = 127,782.51 : x
  2. Step 2: Convert to fraction form
    412,097.68/618,235.33 = 127,782.51/x
  3. Step 3: Cross multiply
    412,097.68x = 618,235.33 × 127,782.51
  4. Step 4: Simplify right side
    412,097.68x = 78,999,661,599.17
  5. Step 5: Solve for x
    x = 78,999,661,599.17/412,097.68
  6. Step 6: Final answer
    x = 191,701.30

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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.