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Finding the Fourth Proportional to 365,643.08, 548,533.26 and 165,977.51

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Solution

The fourth proportional to 365,643.08, 548,533.26 and 165,977.51 is: 248,997.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,643.08 : 548,533.26 = 165,977.51 : x
  2. Step 2: Convert to fraction form
    365,643.08/548,533.26 = 165,977.51/x
  3. Step 3: Cross multiply
    365,643.08x = 548,533.26 × 165,977.51
  4. Step 4: Simplify right side
    365,643.08x = 91,044,181,904.32
  5. Step 5: Solve for x
    x = 91,044,181,904.32/365,643.08
  6. Step 6: Final answer
    x = 248,997.42

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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.