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Finding the Fourth Proportional to 189,197.52, 261,094.34 and 104,317.60

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Solution

The fourth proportional to 189,197.52, 261,094.34 and 104,317.60 is: 143,959.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,197.52 : 261,094.34 = 104,317.60 : x
  2. Step 2: Convert to fraction form
    189,197.52/261,094.34 = 104,317.60/x
  3. Step 3: Cross multiply
    189,197.52x = 261,094.34 × 104,317.60
  4. Step 4: Simplify right side
    189,197.52x = 27,236,734,922.38
  5. Step 5: Solve for x
    x = 27,236,734,922.38/189,197.52
  6. Step 6: Final answer
    x = 143,959.26

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.