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Finding the Fourth Proportional to 270,475.37, 405,693.87 and 92,978.45

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Solution

The fourth proportional to 270,475.37, 405,693.87 and 92,978.45 is: 139,461.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,475.37 : 405,693.87 = 92,978.45 : x
  2. Step 2: Convert to fraction form
    270,475.37/405,693.87 = 92,978.45/x
  3. Step 3: Cross multiply
    270,475.37x = 405,693.87 × 92,978.45
  4. Step 4: Simplify right side
    270,475.37x = 37,720,786,351.32
  5. Step 5: Solve for x
    x = 37,720,786,351.32/270,475.37
  6. Step 6: Final answer
    x = 139,461.08

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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.