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Finding the Fourth Proportional to 189,023.13, 260,851.78 and 104,140.20

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Solution

The fourth proportional to 189,023.13, 260,851.78 and 104,140.20 is: 143,713.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,023.13 : 260,851.78 = 104,140.20 : x
  2. Step 2: Convert to fraction form
    189,023.13/260,851.78 = 104,140.20/x
  3. Step 3: Cross multiply
    189,023.13x = 260,851.78 × 104,140.20
  4. Step 4: Simplify right side
    189,023.13x = 27,165,154,974.95
  5. Step 5: Solve for x
    x = 27,165,154,974.95/189,023.13
  6. Step 6: Final answer
    x = 143,713.39

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