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Finding the Fourth Proportional to 189,077.82, 260,926.14 and 104,194.95

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Solution

The fourth proportional to 189,077.82, 260,926.14 and 104,194.95 is: 143,788.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,077.82 : 260,926.14 = 104,194.95 : x
  2. Step 2: Convert to fraction form
    189,077.82/260,926.14 = 104,194.95/x
  3. Step 3: Cross multiply
    189,077.82x = 260,926.14 × 104,194.95
  4. Step 4: Simplify right side
    189,077.82x = 27,187,186,110.99
  5. Step 5: Solve for x
    x = 27,187,186,110.99/189,077.82
  6. Step 6: Final answer
    x = 143,788.34

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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.