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Finding the Fourth Proportional to 412,097.18, 618,234.57 and 127,782.01

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Solution

The fourth proportional to 412,097.18, 618,234.57 and 127,782.01 is: 191,700.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,097.18 : 618,234.57 = 127,782.01 : x
  2. Step 2: Convert to fraction form
    412,097.18/618,234.57 = 127,782.01/x
  3. Step 3: Cross multiply
    412,097.18x = 618,234.57 × 127,782.01
  4. Step 4: Simplify right side
    412,097.18x = 78,999,256,549.97
  5. Step 5: Solve for x
    x = 78,999,256,549.97/412,097.18
  6. Step 6: Final answer
    x = 191,700.55

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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.