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Finding the Fourth Proportional to 416,783.27, 625,174.91 and 101,238.05

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Solution

The fourth proportional to 416,783.27, 625,174.91 and 101,238.05 is: 151,857.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,783.27 : 625,174.91 = 101,238.05 : x
  2. Step 2: Convert to fraction form
    416,783.27/625,174.91 = 101,238.05/x
  3. Step 3: Cross multiply
    416,783.27x = 625,174.91 × 101,238.05
  4. Step 4: Simplify right side
    416,783.27x = 63,291,485,165.26
  5. Step 5: Solve for x
    x = 63,291,485,165.26/416,783.27
  6. Step 6: Final answer
    x = 151,857.07

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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.