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Finding the Fourth Proportional to 189,101.48, 260,959.52 and 104,218.52

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Solution

The fourth proportional to 189,101.48, 260,959.52 and 104,218.52 is: 143,821.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,101.48 : 260,959.52 = 104,218.52 : x
  2. Step 2: Convert to fraction form
    189,101.48/260,959.52 = 104,218.52/x
  3. Step 3: Cross multiply
    189,101.48x = 260,959.52 × 104,218.52
  4. Step 4: Simplify right side
    189,101.48x = 27,196,814,433.22
  5. Step 5: Solve for x
    x = 27,196,814,433.22/189,101.48
  6. Step 6: Final answer
    x = 143,821.27

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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.